What is the GCF of 20xy and 24xyz

The GCF would be 4xy because you would have to find the biggest multiple for 20xy and 24xyz, which is 4xy

4xy is GCF.

Step-by-step explanation:

Given : 20xy and 24xyz

To find : what is the GCF

Solution : We have given 20xy and 24xyz

Steps to find GCF (greatest common factors)

Step 1: Prime factor of each number

20 xy = 1 * 2 * 4 * 5 * 20 * x * y.

24 xyz = 1 * 2 * 3 * 4 * 6 * 8 * 12 * 24 * x * y * z.

We can see the common factors are 1,2, 4, x, y

So in these common factors 4 xy is greatest common factor.

Therefore, 4xy is GCF.