Question

The expression 15w+65 factored using the GCF is what?

Answer 1

5(3w+13) 
5 is the GCF

Answer 2

Keywords:

Expression, variable, factor, GCF, factor

For this case we have an expression with a variable, in which we must factor the expression using the greatest common factor. By definition we have that the GFC of two numbers is the largest number that is a factor of both numbers.

Having said that we have the following expression:

$15w + 65$

So the greatest common factor between 15 and 65 is 5. So:

$15w + 65 = 5 (3w + 13)$

Answer:

The greatest common factor of the expression $15w + 65$ is 5, then:

$15w + 65 = 5 (3w + 13)$