Find the GCF of each product.
(2x2+5x)(7x - 14)
(6y2 -3y)( y+7)
When the term "Greatest Common Factor" is used, it applies to a pair of numbers. The terms you have liated are polynomials that have already been factored. They could be further factored into
7x(2x+5)(x-2)
and
3y(2y-1)(y+7)
These two terms do not have a common factor, other than 1.