Factor 12y+6 using the gfc

To factor 12y+6 using the greatest common factor (GCF), we first need to determine the GCF of the two terms.

The factors of 12 are 1, 2, 3, 4, 6, and 12.
The factors of y are 1 and y.
The factors of 6 are 1, 2, 3, and 6.

The GCF is 6, as it is the highest common factor of both 12 and 6.

Now, we can express 12y+6 as the product of the GCF and the remaining terms after dividing by the GCF:

12y = 6 * 2y
6 = 6 * 1

Combining these terms, we get:

12y+6 = 6 * 2y + 6 * 1

Now, we can factor out the GCF:

12y+6 = 6(2y+1)

Therefore, the factored form of 12y+6 is 6(2y+1).