Factor 16d−12 using the GCF

Answer 1

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 of 16 and 12 is 4.

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

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

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

\[ 4(4d - 3) \]