\"\"

\

Method 1:

\

Factor the each monomial.

\

36a3 b 2 · 2 · 3 · 3 · a · a · a · b

\

56ab2 2 · 2 · 2 · 7 · a · b  · b 

\

The GCF is the product of the common prime factors in each monomial.

\

GCF = 2 · 2 · a · b = 4ab \ \ The greatest common factor of 36a3b and 56ab2 is 4ab.

\

\"\"

\

The greatest common factor of 36a3b and 56ab2 is 4ab.

\

\ \