Factor 12y+6 using the GCF
In order to factor out the Greatest Common Factor (GCF) from the expression 12y + 6, we need to find the largest number or expression that can divide evenly into both terms.
First, let's find the GCF of the coefficients 12 and 6. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 6 are 1, 2, 3, and 6. The largest number that appears in both lists is 6.
Now let's find the GCF of the variables. The variable y appears in both terms, so it's part of the GCF.
Putting it all together, the GCF of 12y and 6 is 6y. We can now factor out 6y from the expression:
6y(2 + 1)
Simplifying further, we get:
6y(3)
Therefore, the factored form of 12y + 6 using the GCF is 6y(3).