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

{3xy,5x^3y,7x^2}

To find the GCF, we need to determine the highest power of each variable that appears in all of the terms.

For the variable x, the highest power that appears in all terms is x^1 (from 3xy and 7x^2).

For the variable y, the highest power that appears in all terms is y^1 (from 3xy).

Therefore, the GCF of the given terms is x^1 * y^1 = xy.