Find the GCF (greatest common factor) of the following terms.
{15x^2,25x^2y^2,5xy^2}
To find the greatest common factor (GCF) of a set of terms, we need to find the largest number or variable that can divide evenly into all of the terms.
First, let's look at the coefficients of the terms: 15, 25, 5. The GCF of 15, 25, and 5 is 5.
Now let's look at the variables. We have x^2, x^2y^2, xy^2. The variables in each term are x^2, x^2y^2, and xy^2. The x^2 is common to all the terms, and the y^2 is common to the second and third term. The GCF of x^2, x^2y^2, and xy^2 is x^2.
Therefore, the GCF of the terms 15x^2, 25x^2y^2, and 5xy^2 is 5x^2.