How do you find the greatest common factor of 35n^2m, 21m^2n?

1 Answer
Dec 1, 2016

The GCF is 7mn.

Explanation:

Find the greatest common factor (GCF) of 35n^2m and 21m^2n.

First find the GCF, or the largest number that goes into both, of 35 and 21.

35 has factors 1, 5,7,35.

21 has factors 1,3,7,21.

The greatest (or largest) number common to both lists is 7.

Next find the GCF of the variables.. The largest power of m common to both terms is m. The largest power of n common to both term is n.

Thus, the GCF is 7mn.