Question

The factors of each term in the expression 24 x minus 60 y are shown below.

24x: 1, 2, 3, 4, 6, 8, 12, 24, x
60y: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, y

What is the greatest common factor of 24x and 60y?

Answer 1

12

Explanation:

The greatest common factor is the biggest number that is divisible by both of the terms 24x and 60y.

Obviously, given that we have two variables, neither x nor y can be included in the GCF, so it must be simply a constant. Now, looking at the list of numbers, we see that the biggest number they share is 12.

Thus, the GCF of 24x and 60y is 12.

Hope this helps!

Answer 2

From looking at the information above, we can conclude that 12 is the greatest common factor