How do you find the greatest common factor of $60y, 56x^2$ ?

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Answer 1 · 2016-12-08T00:46:52

4

To find the GCF, let's see what these two terms are made of:

$60y=2xx30y=2xx2xx15y=2xx2xx3xx5xxy$

$56x^2=2xx28x^2=2xx2xx14x^2=2xx2xx2xx7xx x^2$

So what is the biggest number we can make that is within both of the terms we're looking at?

There are two 2s that both terms have - and nothing else in common. So the GCF is $2xx2=4$

$4xx15y=60y$
$4xx14x^2=56x^2$

How do you find the greatest common factor of 60y, 56x^260y, 56x^2?