To factor the expression \(12w - 9\), we can look for the greatest common factor (GCF) of the coefficients 12 and 9.
The GCF of 12 and 9 is 3.
Now, we can factor out 3 from the expression:
\[ 12w - 9 = 3(4w - 3) \]
So, the factored form of the expression is:
\[ 3(4w - 3) \]
The answer is \(3(4w - 3)\), where 3 is the whole number greater than 1.