To factor the expression \(96k - 12\), we first look for the greatest common factor (GCF) of the two terms.
The GCF of 96 and 12 is 12.
Now, we can factor out 12 from the expression:
\[ 96k - 12 = 12(8k - 1) \]
Thus, the fully factored form of \(96k - 12\) is:
\[ \boxed{12(8k - 1)} \]