#### Answer

4$y^{2}$(1 - 4xy)

#### Work Step by Step

1. Find the greatest common factor between 4$y^{2}$ and 16x$y^{3}$: 4$y^{2}$
2. Factor by dividing each by 4$y^{2}$:
4$y^{2}$ / 4$y^{2}$ = 1
16x$y^{3}$ / 4$y^{2}$ = 4xy
The factored polynomial now becomes 4$y^{2}$(1 - 4xy)