factor sixteen D minus twelve using the GCF

1 answer

To factor the expression \(16D - 12\) using the greatest common factor (GCF), we first need to find 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 \(4\).

Next, we can factor \(4\) out of the expression:

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

Thus, the factored form of the expression \(16D - 12\) is:

\[ 4(4D - 3) \]