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Greatest Common Factor (GCF) of Monomials Worksheet

Find the greatest common factor (GCF) of monomials, including those with variables and exponents. This worksheet is aligned with Grade 8 Algebra standards.

Grade 8 Math AlgebraGreatest Common Factor (GCF) of Monomials
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Includes

2 Fill in the BlanksShort AnswerMultiple ChoiceLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.A.1CCSS.MATH.CONTENT.8.EE.B.5

Topics

GCFGreatest Common FactorMonomialsAlgebraFactoringGrade 8 Math
7 sections · Free to use · Printable
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Greatest Common Factor (GCF) of Monomials

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Date:

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Read each question carefully and determine the Greatest Common Factor (GCF) for the given monomials. Write your answers in the spaces provided.

Find the GCF of the following pairs of numbers:

1. 12 and 18:  

2. 24 and 36:  

3. 15 and 25:  

4. 40 and 60:  

Determine the GCF for the variable parts of the following monomials.

5. x³ and x⁵:

6. y⁷ and y²:

7. a⁴b² and a²b³:

Find the GCF of the following monomials:

8. 6x² and 9x³:  

9. 10y⁴ and 15y²:  

10. 14ab² and 21a²b:  

11. 8m⁵n³ and 12m²n⁴:  

12. 5pqr and 10pq²:  

13. Which of the following is the GCF of 18x²y and 27xy³?

a

9xy

b

3xy

c

9x²y³

d

6x²y³

14. The GCF of 20a³b² and 30a²b² is:

a

10a²b²

b

5a²b²

c

10ab

d

60a³b²

15. Explain in your own words how to find the GCF of two monomials. Provide an example to illustrate your explanation.

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