To factor the expression \( 16d - 12 \) using the greatest common factor (GCF), we first need to identify the GCF of the two coefficients, which are 16 and 12.
The factors of 16 are: \( 1, 2, 4, 8, 16 \)
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 from the expression:
\[ 16d - 12 = 4(4d - 3) \]
Thus, the factored form of \( 16d - 12 \) is:
\[ 4(4d - 3) \]