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.
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, 4, from the expression:
\[ 16d - 12 = 4(4d - 3) \]
So, the factored form of \(16d - 12\) is:
\[ 4(4d - 3) \]