What is the GCF of 2m^5 and 32m^4?

1 Answer
Mar 22, 2018

I believe it is 2m^4, as this is the greatest value term that is satisfied by both terms.

Explanation:

First find the GCF of the coefficients, 2 and 32.
2:(1,2)
32:(1,2,4,8, 16, 32)
So 2 is the GCF for the coefficient.
The variables are m^4 and m^5.
4 is the greatest shared power, and so the GCF for that is m^4.
This makes the total GCF 2m^4.