Factor 12y + 6 using the GCF.(1 point)
The GCF of 12y and 6 is 6.
So, 12y + 6 can be factored as 6(2y + 1).
To factor 12y + 6 using the Greatest Common Factor (GCF), we first need to find the GCF of the coefficients 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.
So, the GCF of 12 and 6 is 6.
Now, let's factor out the GCF from the expression 12y + 6:
6(2y + 1)
Therefore, the factored form of 12y + 6 using the GCF is 6(2y + 1).
To factor 12y + 6 using the Greatest Common Factor (GCF), you need to find the largest number or term that can divide both 12y and 6 evenly.
First, let's find the GCF of 12y and 6.
Step 1: Find the prime factors of each number:
12y = 2 * 2 * 3 * y
6 = 2 * 3
Step 2: Identify the common prime factors:
The common prime factors between 12y and 6 are 2 and 3.
Step 3: Determine the smallest power for each common factor:
The power of 2 in 12y is 2^2 = 4, while the power of 2 in 6 is 2^1 = 2. Therefore, the smallest power of 2 is 2^1 = 2.
The power of 3 in 12y is 3^1 = 3, while the power of 3 in 6 is 3^1 = 3. Therefore, the smallest power of 3 is 3^1 = 3.
Step 4: Multiply the common prime factors with the smallest powers:
The GCF of 12y and 6 is 2 * 3 = 6.
Now we can factor out the GCF from 12y + 6:
12y + 6 = 6(2y + 1)
Therefore, the factored form of 12y + 6 using the GCF is 6(2y + 1).