To find the greatest common factor (GCF) of the expression \(15q + 6\), we first look for the GCF of the coefficients (the numerical parts) of each term.
- The coefficients are 15 and 6.
- The factors of 15 are \(1, 3, 5, 15\).
- The factors of 6 are \(1, 2, 3, 6\).
- The common factors are \(1\) and \(3\).
The greatest common factor of 15 and 6 is \(3\).
Next, we can also factor out the GCF from the expression:
\[ 15q + 6 = 3(5q + 2) \]
Thus, the GCF of the expression \(15q + 6\) is \(3\).