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Greatest Common Factor - Printable Mathematics Worksheets class 6 - Wayground

Greatest Common Factor

16 questions

6th - 6th Grade

Mathematics

This free Grade 6 mathematics worksheet helps students identify factors, determine common factors, and find the greatest common factor (GCF) of pairs of whole numbers. Across 16 items, students recall what GCF means, list all factors of numbers such as 12, 24, and 25, identify whether a number is a factor, and determine the GCF of pairs including 14 and 35, 16 and 24, and 18 and 36. The worksheet combines 10 multiple-choice questions with 6 fill-in-the-blank items. Students must recognize complete factor lists, distinguish common factors from factors of only one number, and record common factors in least-to-greatest order when requested. It is a free printable worksheet with a complete answer key, suitable for Grade 6 math practice, independent work, review, or a quick check of students’ understanding of factors and GCF.

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Worksheets

Greatest Common Factor

Total questions: 16

Name
Class
Date
1.

What is the greatest common factor of 14 and 35?

a)

2

b)

7

c)

8

d)

5

2.

What is the greatest common factor of 12 and 20?

(a)  

3.

What is the greatest common factor of 16 and 24?

(a)  

4.

What is the greatest common factor of 35 and 47?

a)

5

b)

7

c)

1

d)

8

5.

What is the greatest common factor of 15 and 30?

(a)  

6.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
7.
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
8.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Common Factor

c)

Greatest Common Multiple

d)

Greatest Compared Factor

9.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
10.
What is the greatest common factor of 4 and 16?
a)
4
b)
2
c)
1
d)
16
11.

What are the factors of 24?

a)

2, 4, 6, 8, 12

b)

1, 2, 3, 4, 6, 8, 10, 12, 24

c)

1, 2, 3, 4, 5, 6, 7, 12, 24

d)

12, 24, 3, 4, 2, 8, 6, 1

12.

List the common factors of 12 and 24 in order from least to greatest separatd by a comma.

(a)  

13.

What is the GCF of 18 and 36?

(a)  

14.

What is the GCF of 21 and 49?

(a)  

15.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
16.

What is the GCF of 8 and 24?

a)

1

b)

24

c)

8

d)

4

Answer Key

Greatest Common Factor

Total questions: 16

1.
b)

7

2.
4
3.
8
4.
c)

1

5.
15
6.
b) 1, 5,  25
7.
a) 1, 2, 3, 4, 6, 12
8.
b)

Greatest Common Factor

9.
a) 0
10.
a) 4
11.
d)

12, 24, 3, 4, 2, 8, 6, 1

12.
1, 2, 3, 4, 6, 12, 1 2 3 4 6 12, 1,2,3,4,6,12
13.
18
14.
7
15.
b) 1, 5,  25
16.
c)

8

FAQs

What does this Greatest Common Factor worksheet help Grade 6 students learn?

This worksheet builds GCF skills through 10 multiple-choice and 6 fill-in-the-blank questions. Students list factors of numbers such as 12, 24, and 25, identify common factors of number pairs, determine the greatest one, and record common factors in least-to-greatest order when required.

How can I use this worksheet to teach students to find the greatest common factor?

Begin by reviewing how to generate a complete factor list for one number, then have students compare the lists for pairs such as 12 and 20 or 16 and 24. Use the multiple-choice items to discuss why an incomplete factor list or a factor shared by only one number is not sufficient, and follow with the fill-in-the-blank GCF items for independent practice.

What mistakes should I watch for when students complete this GCF worksheet?

Students may leave out 1 or another factor when listing factors, select a number that is a factor of only one value, or choose a common factor without selecting the greatest one. Also check that fill-in responses list the common factors in the requested least-to-greatest order and use commas as directed.

How do I assign and grade this Greatest Common Factor worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the factor lists, common factors, and GCF responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this factors and GCF worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the factor-list and fill-in items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the factors and GCF practice intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.