Greatest Common Factor (GCF) Worksheet

A Grade 8 math worksheet focusing on finding the Greatest Common Factor (GCF) of numbers and algebraic expressions.

Grade 8 Math Number SenseNumber TheoryGreatest Common Factor (GCF)

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Includes

2 Fill in the BlanksShort AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.4CCSS.MATH.CONTENT.8.EE.A.1

Topics

mathGCFgreatest common factornumber sensegrade 8

7 sections · Free to use · Printable

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Read each question carefully and determine the Greatest Common Factor (GCF) for the given numbers or expressions. Show all your work for full credit.

1. The GCF of 18 and 24 is .

2. Find the GCF of 36 and 60: .

3. What is the GCF of 42, 63, and 84? .

4. The GCF of 72 and 108 is .

5. Explain in your own words how to find the GCF of two numbers using prime factorization.

6. Which of the following is the GCF of 28 and 49?

7. The GCF of 6x and 9x is .

8. Find the GCF of 12y² and 18y: .

9. What is the GCF of 10ab and 15b²? .

10. The GCF of 24m³n² and 36m²n⁴ is .

11. The GCF of any two prime numbers is always 1.

True

False

12. The GCF of a number and its multiple is the number itself.

True

False