Factor 16d−12

using the GCF.(1 point)

1 answer

To factor the expression \( 16d - 12 \) using the greatest common factor (GCF), we first need to determine the GCF of the coefficients 16 and 12.

  1. The factors of 16 are: \( 1, 2, 4, 8, 16 \).
  2. The factors of 12 are: \( 1, 2, 3, 4, 6, 12 \).

The greatest common factor is \( 4 \).

Now, we can factor out the GCF from the expression:

\[ 16d - 12 = 4(4d - 3) \]

Thus, the factored form of \( 16d - 12 \) using the GCF is:

\[ 4(4d - 3) \]