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Greatest Common Factor (GCF) Worksheet

Practice finding the Greatest Common Factor (GCF) of two or more numbers using various methods.

Grade 6 Math Number SenseNumber TheoryGreatest Common Factor (GCF)
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

mathgrade 6GCFgreatest common factornumber theory
7 sections · Free to use · Printable
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Greatest Common Factor (GCF)

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Date:

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Read each question carefully and follow the instructions to find the Greatest Common Factor (GCF).

1. What is the GCF of 12 and 18?

a

3

b

6

c

12

d

18

2. Which pair of numbers has a GCF of 8?

a

16 and 20

b

24 and 32

c

8 and 12

d

40 and 48

3. The factors of 20 are 1, 2, 4, 5,  , and 20.

4. The GCF of 10 and 15 is  .

5. To find the GCF, you look for common   among the numbers.

6. List all the factors of 24 and 36. Then, identify their Greatest Common Factor.

7. Explain how you would find the GCF of 30, 45, and 60 using prime factorization.

8. The GCF of two prime numbers is always 1.

T

True

F

False

9. The GCF of 16 and 48 is 16.

T

True

F

False

Match the numbers with their GCF.

10. 20 and 25

 

a. 7

11. 14 and 21

 

b. 5

12. 18 and 27

 

c. 9