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Worksheets

GCF LCM

Total questions: 26

Worksheet time: 24mins

Name
Class
Date
1.

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

2.

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

3.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
4.

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

5.

Peter has 18 oranges and 27 pears. 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

6.

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)

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

7.

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

8.
Which of the following is a multiple of 7?
a)
28
b)
48
c)
71
d)
45
9.
What is the greatest common factor of 10 and 25?
a)
5
b)
1
c)
10
d)
1
10.
What is the greatest common Factor between 30 and 45?
a)
1
b)
15
c)
3
d)
5
11.
There are 14 girls and 21 boys in Mrs. Andrew's gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?
a)
7 teams
b)
14 teams
c)
21 teams
d)
42 teams
12.
Juice comes in packs of 6 and granola bars come in packs of 8. If there are 24 players on the soccer team, what is the least number of packs needed so that each player has a drink and granola bar, and there are none left over?
a)
3 packs juice, 4 packs granola bars
b)
12 packs of both
c)
4 packs juice, 3 packs granola bars
13.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
14.
Find the LCM of each set of numbers. 
5, 10, 15 
a)
50
b)
30
c)
90
d)
150
15.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
16.
Is 24 the GCF or LCM of 8 and 12?
a)
GCF
b)
LCM
17.
Is 6 the GCF or LCM of 18 and 60?
a)
GCF
b)
LCM
18.
What is the greatest common factor (GCF) of 35 and 49?
a)
5
b)
3
c)
7
d)
4
19.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
20.
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
21.
Find the greatest common factor of 24 and 48
a)
4
b)
12
c)
24
d)
48
22.

What is the prime factorization of 18?

a)

2 x 3 x 3

b)

2 x 2 x 3

c)

3 x 3 x 3 x 3 x 3 x 3

d)

2 x 9

23.

Write the Prime Factorization of 20

(a)  

24.

2 x 2 x 5 x 7 is the Prime Factorization of what number

(a)  

25.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
26.

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