Factor 8a−28 using the GCF.

Answer 1

To factor the expression \( 8a - 28 \) using the greatest common factor (GCF), we first need to identify the GCF of the two terms.

The two terms are \( 8a \) and \( -28 \).

1. Find the GCF:

   • The coefficients are 8 and 28.
   • The factors of 8 are: \( 1, 2, 4, 8 \).
   • The factors of 28 are: \( 1, 2, 4, 7, 14, 28 \).
   • The common factors of 8 and 28 are \( 1, 2, 4 \).
   • The greatest common factor is \( 4 \).

2. Factor out the GCF: Now, we factor out \( 4 \) from the expression: \[ 8a - 28 = 4(2a - 7) \]

Therefore, the factored form of \( 8a - 28 \) is \( \boxed{4(2a - 7)} \).