# Lesson Worksheet: The Greatest Common Factor of Monomials Mathematics • 7th Grade

In this worksheet, we will practice finding the greatest common divisor (factor) of two or more monomials.

Q1:

Find the GCF of and , given that and are positive, whole numbers.

• A
• B
• C28
• D
• E2

Q2:

Find the greatest common factor of and , given that and are positive integer numbers.

• A
• B
• C
• D
• E

Q3:

Find the greatest common factor of , , and , given that , , and are positive integer numbers.

• A
• B
• C
• D
• E

Q4:

Consider the rectangle shown. Find its area.

• A
• B
• C
• D
• E

Find its perimeter.

• A
• B
• C
• D
• E

Find the greatest common factor of the area and the perimeter.

• A
• B
• C
• D
• E

Q5:

True or False: The greatest common factor of monomials is the product of their common prime factors.

• AFalse
• BTrue

Q6:

If the greatest common factor of two monomials is and one of the monomials is , which of the following is the other monomial?

• A
• B
• C
• D
• E

Q7:

What is the greatest common factor of and ?

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• B
• C
• D
• E

Q8:

A circle, , has a radius of . Find the greatest common factor of its area and its circumference, given that is a positive integer.

• A
• B
• C
• D
• E

Q9:

True or False: The greatest common factor of and is .

• AFalse
• BTrue

Q10:

If the greatest common factor of two monomials is and one of the monomials is , which of the following could be the other monomial?

• A
• B
• C
• D
• E