Factor 8a — 28 using the GCF

Answer 1

To factor 8a - 28 using the Greatest Common Factor (GCF), we first need to determine the GCF of the two terms.

The factors of 8a are 1, 2, 4, 8, a, 2a, 4a, and 8a.
The factors of 28 are 1, 2, 4, 7, 14, and 28.

The common factors of both 8a and 28 are 1, 2, and 4.
Therefore, the GCF is 4.

To factor out the GCF from 8a - 28, we divide each term by 4:
(8a/4) - (28/4) = 2a - 7

Therefore, the factored form of 8a - 28 using the GCF is 2a - 7.