What is the GCF (Greatest Common Factor) of 45 and 75?

2 Answers
smendyka · Meave60
Oct 11, 2017

Prime factors for the two numbers are:

#45 = 3 xx 3 xx 5#

#75 = 3 xx 5 xx 5#

The common factors make the GCF:

GCF #= 3 xx 5 = 15#

sjc · Meave60
Oct 15, 2017

#gcf(15,45)=15#

Explanation:

Another way is to list the factors and then pick out the common ones.

factors of #15:{color(red)(1,3,5,15),}#

factors of #45:{color(red)(1,3,5),9,color(red)(15),45}#

common factors #{1,3,5,15}#

#gcf(15,45)=15#

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