How do you find the greatest common factor of #105x, 30yx, 75x#?

1 Answer
Harlan G.
Dec 1, 2016

15

Explanation:

Remember that the greatest common factor (GCF) is the largest factor that each number has in common.

First, you split each one up into simplest form.
#105x=3*5*7*x#
#30xy=2*3*5*x*y#
#75x=3*5*5#

Then you pick the common factor(s) from each one. Basically, what does each one have in common. We see that each one has a 3 and a 5. Thus the GCF is #3*5=15#

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