Factor 12y + 6 using GCF.
The GCF (Greatest Common Factor) of 12y and 6 is 6. So, we can factor out 6 from the expression:
12y + 6 = 6(2y + 1)
To factor 12y + 6 using the Greatest Common Factor (GCF), we need to identify the largest common factor of the two terms.
Step 1: Determine the GCF of 12y and 6.
The factors of 12y are: 1, 2, 3, 4, 6, 12, y, 2y, 3y, 4y, 6y, 12y.
The factors of 6 are: 1, 2, 3, 6.
The largest common factor between 12y and 6 is 6.
We can now rewrite the expression using the GCF.
Step 2: Factor out the GCF.
We divide each term by the GCF, which is 6:
(12y + 6) ÷ 6
When we divide 12y by 6, we get 2y.
Alternatively, when we divide 6 by 6, we get 1.
So the factored form of 12y + 6 using the GCF is:
6(2y + 1)
To factor 12y + 6 using the Greatest Common Factor (GCF) method, we need to find the largest number or term that divides both 12y and 6. In this case, the GCF of 12y and 6 is 6.
Now, let's factor out the GCF, 6:
12y + 6 = 6(2y + 1)
Therefore, the simplified expression is 6(2y + 1).