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Greatest Common Factor (GCF) Worksheet

A Grade 7 worksheet focused on finding the Greatest Common Factor (GCF) of numbers, including practice problems and word problems.

Grade 7 Math Number SenseNumber TheoryGreatest Common Factor (GCF)
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

mathGCFgreatest common factornumber theorygrade 7
7 sections · Free to use · Printable
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Greatest Common Factor (GCF) Practice

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Read each question carefully and find the Greatest Common Factor (GCF) for the given numbers or solve the word problems.

1. The Greatest Common Factor (GCF) is the   number that divides exactly into two or more numbers.

2. To find the GCF of two numbers, you can list all the   for each number and find the largest one they share.

3. The prime factorization method involves breaking down each number into its   factors.

4. Find the GCF of 12 and 18.

5. What is the GCF of 24 and 36?

6. Determine the GCF of 45 and 75.

7. Which of the following is the GCF of 30 and 42?

a

3

b

6

c

10

d

12

8. The GCF of 15, 25, and 35 is:

a

1

b

3

c

5

d

7

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

T

True

F

False

10. The GCF of 10 and 20 is 10.

T

True

F

False

11. Sarah has 24 apples and 36 oranges. She wants to arrange them into baskets so that each basket has the same number of apples and the same number of oranges. What is the greatest number of baskets she can make?

12. A baker is making cookies. He has 48 chocolate chip cookies and 60 oatmeal cookies. He wants to put them into boxes, with each box containing the same number of each type of cookie and no cookies left over. What is the greatest number of boxes he can fill?