Find the GCF (greatest common factor) of the following terms.
{9xy^2,27y^3}
To find the greatest common factor (GCF) of two terms, we need to factorize each term and find the common factors that they share.
First, let's factorize 9xy^2:
9xy^2 can be written as 3 * 3 * x * y * y.
Next, let's factorize 27y^3:
27y^3 can be written as 3 * 3 * 3 * y * y * y.
Now, let's compare the factorizations of both terms:
9xy^2 = 3 * 3 * x * y * y
27y^3 = 3 * 3 * 3 * y * y * y
From the factorizations, we can see that they both have 3, 3, y, y, and y in common.
Therefore, the greatest common factor (GCF) of 9xy^2 and 27y^3 is 3 * 3 * y * y, which simplifies to 9y^2.