Method 1:
\Factor the each monomial.
\44m2n = 2 · 2 · 11 · m · m · n
\48mn2 = 2 · 2 · 2 · 2 · 3 · m · n · n
\The GCF is the product of the common prime factors in each monomial.
\GCF = 2 · m · n
\The greatest common factor of 44m2n and 48mn2 is 2mn.
The greatest common factor of 44m2n and 48mn2 is 2mn.