Find the GCF of 15q+6 .(1 point)

Answer 1

To find the greatest common factor (GCF) of the expression \( 15q + 6 \), we will look for the GCF of the coefficients of the terms.

1. The coefficients are \( 15 \) and \( 6 \).
2. To find the GCF of \( 15 \) 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 of these common factors is \( 3 \).

3. Now, we can factor \( 15q + 6 \) by taking \( 3 \) out: \[ 15q + 6 = 3(5q + 2) \]

Therefore, the GCF of the expression \( 15q + 6 \) is \( 3 \).