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

1 Answer

Answer:

4

Explanation:

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#