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Finding the GCF Test
About Finding the Greatest Common Factor:

In prealgebra we learned how to find the greatest common factor or GCF for a group of numbers. Here we will expand on this topic and learn how to find the greatest common factor or GCF for a group of terms. We will rely on this skill heavily once we get into factoring in the next section.

Test Objectives:

•Demonstrate a general understanding of the meaning of the greatest common factor (GCF)

•Demonstrate the ability to find the greatest common factor (GCF) for a group of numbers

•Demonstrate the ability to find the greatest common factor (GCF) for a group of terms

Finding the Greatest Common Factor (GCF) Test:




#1:


Instructions: Find the greatest common factor (GCF).


a) 28x2y3, 21x2y, 70x2


b) 90a3b3, 10a4b2, 20a2b2


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#2:


Instructions: Find the greatest common factor (GCF).


a) 12yz3, 48y2x2z, 28y3, 48y4x


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#3:


Instructions: Find the greatest common factor (GCF).


a) 36xy8z6, 24xyz11, 42xy4z7, 30xyz6


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#4:


Instructions: Find the greatest common factor (GCF).


a) 60x4y9z3, 120x9y3z2, 50x4y3z3, 150x5y3z2


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#5:


Instructions: Find the greatest common factor (GCF).


a) 18j3k5, 72jk3h4, 24j2k3, 66jk2h


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Written Solutions:




#1:


Solution:


a) 7x2


b) 10a2b2


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#2:


Solution:


a) 4y


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#3:


Solution:


a) 6xyz6


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#4:


Solution:


a) 10x4y3z2


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#5:


Solution:


a) 6jk2


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