To factor the expression \( 12y + 6 \) using the greatest common factor (GCF), follow these steps:
-
Identify the GCF: The coefficients are 12 and 6. The GCF of 12 and 6 is 6.
-
Factor out the GCF: Divide each term in the expression by the GCF:
\[ 12y + 6 = 6(2y) + 6(1) \]
This simplifies to:
\[ = 6(2y + 1) \]
So, the factored form of \( 12y + 6 \) is:
\[ 6(2y + 1) \]