Find the GCF of 15q +6

Answer 1

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

1. Identify the coefficients:

   • The coefficient of \(15q\) is \(15\).
   • The constant term is \(6\).

2. 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: \(1, 3\)
   • The greatest common factor is \(3\).

3. Factor out the GCF from the expression: \[ 15q + 6 = 3(5q + 2) \]

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