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WorksheetsLCM, GCF Chapter review
Total questions: 105
Worksheet time: 3hrs 47mins
Name
Class
Date
1.
Is 35 prime or composite?
a)
prime
b)
composite
2.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
3.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
4.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
5.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
6.
Fill in the Blank: Least _______ ________
a)
Common Multilpier
b)
Common Multiple
c)
Common Factor
7.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least.
b)
The LCM is a multiple that both numbers share the most.
c)
The LCM is a multiple that both numbers share the least.
d)
The LCM is a factor that both numbers share the least.
8.
Choose the correct list of the first five multiples of 10.
a)
1, 10, 20, 30, 40
b)
10, 20, 30, 40, 50
c)
5, 10, 15, 20, 25
d)
10, 30, 40, 50, 60
9.
What is the least common multiple of 4, 6, and 8?
a)
24
b)
18
c)
12
d)
32
10.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
11.
What is the least common multiple of 5, 4, and 10?
a)
20
b)
40
c)
10
d)
30
12.
What is the least common multiple of 5, 4, and 10?
a)
20
b)
40
c)
10
d)
30
13.
What is the LCM of 2, 4, 6?
a)
6
b)
12
c)
4
d)
2
14.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
15.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
16.
What is the LCM of 16 and 24?
a)
24
b)
48
c)
8
17.
51 is a _____________ of 3
a)
Factor
b)
Multiple
18.
Which of the choices is a factor of 10?
a)
2
b)
4
c)
6
d)
8
19.
Which choice shows a multiple of 8?
a)
8
b)
4
c)
2
d)
1
20.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
21.
What is the GCF of 7 and 18?
a)
7
b)
18
c)
1
d)
3
22.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5, 25
c)
1, 25
d)
1, 5
23.
What is the GCF OF 24 and 48?
a)
52
b)
58
c)
24
d)
48
24.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
25.
What number is the only even prime number?
a)
0
b)
2
c)
1
d)
3
26.
What is the LCM of 7, 8 and 10?
a)
280
b)
10
c)
270
d)
560
27.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least.
b)
The LCM is a multiple that both numbers share the most.
c)
The LCM is a multiple that both numbers share the least.
d)
The LCM is a factor that both numbers share the least.
28.
Which number listed below is a prime number?
a)
1
b)
37
c)
63
d)
33
29.
Find the Greatest Common Factor (GCF) OF 12, 18 & 30
a)
1
b)
3
c)
6
d)
12
30.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5, 25
c)
1, 25
d)
1, 5
31.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
32.
What number is never allowed in a factor tree?
a)
13 (it's bad luck!)
b)
1
c)
8675309
d)
2
33.
Which is the prime factorization of 12?
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2
c)
2 x 2 x 3
d)
1 x 2 x 2 x 3
34.
What is the prime factorization of 16?
a)
1 x 16
b)
2 x 2 x 4
c)
2 x 2 x 2 x 2
d)
8 + 8
35.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x2x2x3
c)
3x2x2x2x2
d)
12x4
36.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
37.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
38.
Use a number tree to find the prime factorization of 111
a)
33x3
b)
11x3x3
c)
37x3
d)
9x4x3x1
39.
Find the prime factorization of 72
a)
23 x 32
b)
2 x 32 x 4
c)
24 x 33
d)
22 x 62
40.
What is the prime factorization of 16 ?
a)
1 x 16
b)
22x 4
c)
24
d)
22 + 22
41.
Find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
42.
Find the prime factorization of 111
a)
333
b)
32 x 11
c)
3 x 37
d)
22 x 3 x 11
43.
What is the prime factorization of 192 ?
a)
3 ⋅ 62
b)
26 ⋅ 3
c)
28 ⋅ 3
d)
3 ⋅ 82
44.
23 x 7 is the prime factorization of which number?
a)
42
b)
56
c)
28
d)
Not Here
45.
Find the prime factorization of 81
a)
34
b)
43
c)
811
d)
32 ⋅ 23
46.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
47.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2
48.
What is the prime factorization of 45?
a)
32 x 5
b)
5 x 5 x 5
c)
9 x 5
d)
3 x 5
49.
23 x 7 is the prime factorization of which number?
a)
42
b)
56
c)
28
d)
Not Here
50.
Using a Factor Tree, find the prime factorization of 75.
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
51.
What is the missing factor?
a)
1
b)
2
c)
5
d)
8
52.
What are the missing factors?
a)
2 and 3
b)
3 and 6
c)
3 and 3
d)
1 and 9
53.
CHALLENGE: What is the GCF?
a)
8
b)
3
c)
2
d)
4
54.
CHALLENGE: What is the GCF?
a)
2
b)
3
c)
9
d)
18
55.
CHALLENGE: What is the LCM?
a)
2 x 3
b)
2 x 2 x 2 x 3 x 3
c)
2 x 2 x 2
d)
2 x 2 x 2 x 2 x 3
56.
CHALLENGE: What is the LCM?
a)
2 x 2 x 3
b)
2 x 3 x 3 x 3
c)
2 x 3
d)
3 x 3 x 3
57.
Find the GCF of the pair of numbers: 60 and 72
a)
12
b)
6
c)
2
d)
18
58.
Find the GCF of each set of numbers.
12, 30
12, 30
a)
4
b)
2
c)
5
d)
6
59.
Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.
a)
4
b)
6
c)
8
d)
10
60.
Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.
a)
4
b)
6
c)
8
d)
10
61.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
62.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
63.
Find the GCF of each set of numbers.
50, 40
50, 40
a)
5
b)
2
c)
10
d)
8
64.
Find the GCF of each set of numbers.
28, 42, 56
28, 42, 56
a)
14
b)
4
c)
7
d)
8
65.
Find the GCF of each set of numbers.
14, 56, 63
14, 56, 63
a)
9
b)
4
c)
7
d)
8
66.
A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
What is the greatest number of toys that can be put in a bin?
Toys to Place in Bins
Toy Number of Toys
Anemones 12
Limpets 14
Snails 18
What is the greatest number of toys that can be put in a bin?
Toys to Place in Bins
Toy Number of Toys
Anemones 12
Limpets 14
Snails 18
a)
1 of each toy
b)
2 of each toy
c)
3 of each toy
d)
4 of each toy
67.
A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
5. What is the greatest number of toys that can be put in a bin?
Toys to Place in Bins
Toy Number of Toys
Anemones 12
Limpets 14
Snails 18
5. What is the greatest number of toys that can be put in a bin?
Toys to Place in Bins
Toy Number of Toys
Anemones 12
Limpets 14
Snails 18
a)
5 bins for anemones, 7 bins for limpets, and 9 bins for Snails
b)
5 bins for anemones, 6 bins for limpets, and 8 bins for Snails
c)
6 bins for anemones, 7 bins for limpets, and 9 bins for Snails
d)
7 bins for anemones, 8 bins for limpets, and 10 bins for Snails
68.
Find the LCM of each set of numbers.
4, 5, 6
4, 5, 6
a)
20
b)
36
c)
45
d)
60
69.
Find the LCM of each set of numbers.
5, 10, 15
5, 10, 15
a)
50
b)
30
c)
90
d)
150
70.
Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again?
a)
80 days
b)
40 days
c)
50 days
d)
60 days
71.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
72.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
73.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
74.
CHALLENGE! What is the LCM of 2, 4, 6?
a)
6
b)
12
c)
4
d)
2
75.
Which number is NOT a factor of 10?
a)
1
b)
2
c)
3
d)
5
76.
Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
77.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
78.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
79.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
80.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
81.
Lisa is making activity baskets to donate to charity. She has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
82.
At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs. The staff had to prepare platters for an office lunch. If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?
a)
48
b)
2
c)
4
d)
16
83.
Jeremy has two pieces of wood: one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length. What is the longest possible length he can cut and not have any lumber left over?
a)
9
b)
2
c)
18
d)
72
84.
Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?
a)
6
b)
2
c)
4
d)
8
85.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
86.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
87.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes
88.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
89.
Find the Least Common Multiple (LCM) of 38 & 12
a)
2
b)
228
c)
336
d)
448
90.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
91.
Find the GCF of each set of numbers.
28, 42, 56
28, 42, 56
a)
14
b)
4
c)
7
d)
8
92.
Find the GCF of each set of numbers.
14, 56, 63
14, 56, 63
a)
9
b)
4
c)
7
d)
8
93.
Find the LCM of each set of numbers.
4, 5, 6
4, 5, 6
a)
20
b)
36
c)
45
d)
60
94.
Pencils come in packs of 8 and highlighters in packs of 12.
A. What is the least number of pencils and highlighters you need to buy for an equal amount?
B. What is the least number of packages you need to buy to have an equal amount of pencils and highlighters?
A. What is the least number of pencils and highlighters you need to buy for an equal amount?
B. What is the least number of packages you need to buy to have an equal amount of pencils and highlighters?
a)
A. 4 B. 2 pencil and 3 highlighter
b)
A. 48 B. 6 pencil and 4 highlighter
c)
A. 24 B. 3 pencil and 2 highlighter
95.
You have 18 red legos and 24 green legos. You need to combine them into groups of the same size with the same number of red and green legos in each group.
A. What is the greatest number of groups you can make?
B. How many red and green legos will be in each group?
A. What is the greatest number of groups you can make?
B. How many red and green legos will be in each group?
a)
A. 6 groups B. 3 red and 4 green
b)
A. 72 groups B. 6 red and 3 green
c)
A. 3 groups B. 6 red and 8 green
96.
An art project requires rows with the same number of discs and same amount of red and blue discs in each row. You have 40 red discs and 24 blue discs.
A. What is the greatest number of discs you could put in each row?
B. How many red discs and blue discs will be in each row?
A. What is the greatest number of discs you could put in each row?
B. How many red discs and blue discs will be in each row?
a)
A. 120 discs B. 3 red and 5 blue
b)
A. 8 discs B. 5 red and 3 blue
c)
A. 4 discs B. 10 red and 6 blue
97.
You have a set of 12 hearts, 16 diamonds, and 20 clubs that need to be put into equal groups. Each group must be made up of the same number of hearts, diamonds, and clubs. What is the greatest number of groups that can be made?
a)
6 groups
b)
2 groups
c)
4 groups
98.
You are watching a parade and observe cars going by in groups of 4 blue cars and 6 green cars at a time. If you observe the same number of blue and green cars, what is the smallest number of each car you could have observed?
a)
2 cars
b)
12 cars
c)
24 cars
99.
There are 48 girls and 64 boys.
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?
a)
8
b)
6
c)
16
d)
12
100.
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?
a)
2
b)
4
c)
6
d)
8
101.
Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?
a)
10 inches
b)
20 inches
c)
30 inches
d)
40 inches
102.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
103.
Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together?
a)
Greatest Common Factor
b)
Least Common Multiple
104.
Radio station Z-100 was giving away a $100 bill to every 100th caller during a contest and gave Jingle Ball tickets to every 40th caller. How many callers must call before someone wins both a $100 bill and a Jingle Ball ticket?
a)
Greatest Common Factor
b)
Least Common Multiple
105.
What is the GCF of 20, 44, and 88?
a)
4
b)
2
c)
22
d)
1
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