Factor 8a-28 using the GFC

Answer 1

To factor 8a-28 using the Greatest Common Factor (GCF), we need to find the largest number or variable that can divide evenly into both terms.

First, let's look at the coefficients. The GCF of 8 and 28 is 4.

Next, let's consider the variable terms. Both terms have an "a," so we can factor out an "a."

Therefore, the GCF of 8a and 28 is 4a.

To factor out the GCF, we divide each term by the GCF:

(8a) / (4a) = 2

(28) / (4a) = 7

Putting it all together, we get:

8a - 28 = 4a(2 - 7)

Simplifying further:

8a - 28 = 4a(-5)

Which can also be written as:

8a - 28 = -20a