Question

Factor the following expression the GFC. 4xy+12w+12z

Answer 1

For this case, we must factor the following expression:

`4xy + 12w + 12z`

Then, we must find the greatest common factor. By definition, the gcf is given by the greatest factor that divides all the terms of the expression without leaving remainder.

We must find the factors of 4 and 12:

`4: 1,2,4\\12: 1,2,3,4,6,12`

It is observed that the variables of each term are not common among them. Thus, we can rewrite the expression as:

`4 (xy + 3w + 3z)`

Answer:

`4 (xy + 3w + 3z)`