Find the GCF (greatest common factor) of the following terms.
{27xy, 81, 54xy}
To find the greatest common factor (GCF), we need to find the largest number that divides evenly into all the terms.
The prime factorization of 27xy is 3 * 3 * 3 * x * y.
The prime factorization of 81 is 3 * 3 * 3 * 3.
The prime factorization of 54xy is 2 * 3 * 3 * 3 * x * y.
The common factors of 27xy, 81, and 54xy are 3 and 3 * 3, or 9.
Therefore, the GCF of the given terms is 9.