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