Factor 12 Y + 6 using the GCF

1 answer

To factor 12y + 6 using the greatest common factor (GCF), we need to find the largest number that divides both 12y and 6.

First, let's find the factors of 12y. The factors of 12 are 1, 2, 3, 4, 6, and 12. Since 12y is a multiple of 12, all the factors of 12 are also factors of 12y.

Next, let's find the factors of 6. The factors of 6 are 1, 2, 3, and 6.

Comparing the factors of 12y and 6, we see that the GCF is 6.

Therefore, we can factor out 6 from 12y + 6:

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