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

1 Answer
Zachary
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#.

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