Holt McDougal Larson Pre-Algebra Common Core Edition page 742 number 50

First factor out the monomials

7x^2y^3 7*x*x *2*y*y*y

5x^3y^4 x*x*x y*y*y*y*5*3

x*x y*y*y

the GCF are is the products of the shared columns of factors

=x*x*y*y*y

=x^2y^3