To find the Greatest Common Factor (GCF) of the expression \( 15q + 6 \), we need to identify the common factors of the numerical coefficients and any common variable factors.
- The coefficients are 15 and 6.
- The prime factorization of 15 is \( 3 \times 5 \).
- The prime factorization of 6 is \( 2 \times 3 \).
- The common factor between 15 and 6 is \( 3 \).
Now, we can also note that the variable \( q \) appears only in one term, so it cannot be included in the GCF.
Thus, the GCF of the expression \( 15q + 6 \) is \( 3 \).