what is the GCF (greatest common factor) of the following terms. {42,33xy}

To find the greatest common factor (GCF) of 42 and 33xy, we need to determine the largest number or term that divides both 42 and 33xy evenly.

First, let's break down each term into its prime factors:
42 = 2 * 3 * 7
33xy = 3 * 11 * x * y

Next, compare the common factors. We see that both 42 and 33xy have 3 as a common factor, but no other factor is common. Therefore, the GCF of 42 and 33xy is 3.