Find the GCF (greatest common factor) of the following terms.
{5xy,5x^3y,2x^2}
To find the greatest common factor (GCF) of these terms, we need to find the highest power of each variable that appears in all three terms.
First, let's look at the x terms: we have x, x^3, and x^2. The highest power of x that appears in all three terms is x^2.
Next, let's look at the y terms: we have y, y, and no y term. So, the highest power of y that appears in all three terms is y.
Finally, let's look at the numerical coefficients: we have 5, 5, and 2. The highest numerical factor that appears in all three terms is 1.
Therefore, the GCF of the given terms is 1(x^2)(y), which can be simplified to x^2y.