gcf of 25w^4 and 25w^2

The greatest common factor (GCF) of 25w^4 and 25w^2 is 25w^2.

This is because 25w^2 can be factored out of both terms:

25w^4 = 25w^2 * w^2
25w^2 = 25w^2

Therefore, the GCF of 25w^4 and 25w^2 is 25w^2.