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Greatest Common Factor (GCF) of Monomials

This worksheet focuses on finding the greatest common factor (GCF) of monomials, including those with variables and exponents, suitable for Grade 9 algebra students.

Grade 9 Math AlgebraGreatest Common Factor (GCF) of Monomials
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSA.SSE.A.2

Topics

MathAlgebraGCFMonomialsFactoring
7 sections · Free to use · Printable
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Greatest Common Factor (GCF) of Monomials

Name:

Date:

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Read each question carefully and find the greatest common factor (GCF) for the given monomials. Show your work where applicable.

Find the GCF of each pair of monomials.

1. 12x³y² and 18x²y⁵

2. 25a⁴b³c and 30a²b⁴

Complete the blanks to find the GCF.

3. The GCF of 14m⁶n and 21m³n² is  .

4. For the monomials 40p²q⁴ and 60p⁵q³, the GCF is  .

5. Which of the following is the GCF of 36x²yz and 48xy²?

a

12xy

b

12x²y²

c

6xy

d

6x²y

Determine if the following statements are true or false.

6. The GCF of 7a²b and 11a³b is 77a³b².

T

True

F

False

7. The GCF of 10x² and 15x is 5x.

T

True

F

False

Find the GCF of the following sets of monomials.

8. 6ab², 9a²b, and 12a³b³

9. A rectangular garden has an area represented by 24x²y + 36xy². If the width of the garden is the GCF of the two terms, what are the expressions for the width and the length of the garden?