Method 1:
\Factor the each monomial.
\a2b3 = a · a · b · b · b
\ab3= a · b · b · b
\The GCF is the product of the common prime factors in each monomial.
\GCF = a · b · b · b
\The greatest common factor of a2b3 and ab3 is ab3.
The greatest common factor of a2b3 and ab3 is ab3.