Gretest common factor of 32mtothe5 and 4mtothe6?

1 Answer
Jun 27, 2018

#4m^5#

Explanation:

First, let's work with the coefficients (or the numbers before the base, which in this case is #m#).

To find the GCF, we need to find the #"largest"# number that can divide into both 32 and 4 evenly. In this case, the answer is 4.

#4-:4=1# and #32-:4=8#

For the exponent, we choose the smallest one in the problem. In this case, the smaller exponent of the two is 5. So our GCF for the exponents is 5.

That makes our overall GCF: #4m^5#