Factor 12y + 6 using the GCF.
To factor 12y + 6 using the greatest common factor (GCF), we first need to find the GCF of the numbers 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 common factors of 12 and 6 are: 1, 2, 3, and 6.
Therefore, the GCF of 12 and 6 is 6.
Now, we can factor out the GCF from the expression 12y + 6:
12y + 6 = 6(2y + 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), we need to find the largest number or variable that can divide evenly into both terms.
Step 1: Find the common factors of 12y and 6.
The factors of 12y are: 1, 2, 3, 4, 6, 12, y, 2y, 3y, 4y, 6y, and 12y.
The factors of 6 are: 1, 2, 3, and 6.
Step 2: Identify the largest common factor.
The largest common factor of 12y and 6 is 6.
Step 3: Divide both terms by the GCF.
12y ÷ 6 = 2y
6 ÷ 6 = 1
So, 12y + 6 factors as 6(2y + 1).
To factor the expression 12y + 6 using the Greatest Common Factor (GCF), we need to find the largest number or algebraic term that divides evenly into both terms.
First, we can look at the coefficients of both terms, which are 12 and 6. The GCF of 12 and 6 is 6, since both numbers can be divided evenly by 6.
Next, we can look at the variable part in each term, which is y. Since y is common to both terms, we can factor it out.
By factoring out the GCF and the variable y, we can rewrite the expression as:
6(2y + 1)
So, the factored form of 12y + 6 using the GCF is 6(2y + 1).