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Factor 16d − 12

using the GCF.

1 answer

To factor the expression \(16d - 12\) using the greatest common factor (GCF), we first need to identify 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 of 16 and 12 is 4.

Now, we can factor out the GCF (4) from the expression:

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

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

\[ \boxed{4(4d - 3)} \]