Factor 8a − 28 using the GCF.

1 answer

To factor the expression 8a - 28 using the GCF (Greatest Common Factor), we need to find the largest number that divides evenly into both terms. Let's list the factors of both terms:

Factors of 8a: 1, 2, 4, 8, a, 2a, 4a, 8a
Factors of 28: 1, 2, 4, 7, 14, 28

The GCF is the largest common factor, which in this case is 4. We can now rewrite the expression as:

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

So, the expression 8a - 28 can be factored as 4(2a - 7).