Find the GCF (greatest common factor) of the following terms.
{5xy, 25x^2y, 10x^2}
To find the greatest common factor (GCF) of these terms, we need to find the largest term that can divide evenly into all of them. Let's factor each term:
5xy can be factored into 5 * x * y.
25x^2y can be factored into 5^2 * x^2 * y.
10x^2 can be factored into 2 * 5 * x^2.
Now let's identify the common factors. The common factors are 5 and x. However, the term 25x^2y also has an additional factor of 5^2. Therefore, the GCF of these terms is 5 * x, which can be written as 5x.