Finding The Greatest Common Factor Worksheet Template
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1Finding the Greatest Common Factor
Build a set of factor trees for each of the number pairs below, recording each factor on a Post-it
note. Then, transfer the prime factors to the Venn diagram. Which prime factors do the number
pairs have in common? What is the greatest common factor?
Number pairs:
30, 45
40, 70
63, 42
81, 54
33, 99
Describe your method for finding the greatest common factor of any two numbers.
One number has the prime factors 2, 3, 5, and x. Another number has the prime factors 2, 5,
7, and x. What is the greatest common factor between these two numbers? Explain how you
know this.
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