Find the GCF (greatest common factor) of the following terms.

{3xy^2,2x^2,3x^2y^2}

To find the GCF (greatest common factor) of these terms, we need to identify the highest power of each variable that appears in all three terms.

The GCF of 3xy^2, 2x^2, and 3x^2y^2 is x.

This is because x is the only variable that appears in all three terms, and the highest power of x that appears in all three terms is 1 (x^1).

Therefore, the GCF of 3xy^2, 2x^2, and 3x^2y^2 is x.