Question

factor 12y + 6 using the gcf

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor 12y + 6 using the GCF (Greatest Common Factor), we need to find the largest common factor of the coefficients 12 and 6.

The prime factors of 12 are 2, 2, and 3: 12 = 2 * 2 * 3.
The prime factors of 6 are 2 and 3: 6 = 2 * 3.

The GCF of 12 and 6 is the multiplication of the common prime factors with the lowest exponent: GCF(12, 6) = 2 * 3 = 6.

Now, we can factor out the GCF from 12y and 6:

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

Therefore, the expression 12y + 6 can be factored as 6(2y + 1).