Factor 9z plus 18 using the GCF
To factor out the greatest common factor (GCF) from the expression 9z + 18, we need to find the largest number or variable that divides evenly into both terms.
First, we can find the GCF of 9z and 18.
The prime factorization of 9z is 3 * 3 * z.
The prime factorization of 18 is 2 * 3 * 3.
The common factors are 3 * 3 = 9.
Now we factor out the GCF from each term:
9z can be written as 9 * z.
18 can be written as 9 * 2.
Therefore, the expression 9z + 18 can be factored as:
9z + 18 = 9(z + 2)
To factor 9z + 18 using the Greatest Common Factor (GCF), we need to find the largest common factor that divides both terms evenly.
First, let's find the GCF of 9z and 18.
The prime factors of 9z are 3 * 3 * z.
The prime factors of 18 are 2 * 3 * 3.
The common factors between them are 3 * 3, which is the GCF.
So, we can express 9z + 18 as:
3 * 3 * z + 3 * 3
Now, we can factor out the GCF from both terms:
3 * 3 * (z + 2)
Therefore, the factored form of 9z + 18 using the GCF is 3 * 3 * (z + 2).
To factor 9z + 18 using the GCF (Greatest Common Factor), we first need to find the GCF of these two terms.
Step 1: Find the GCF of 9z and 18.
The factors of 9z are 1, z, 3, 9, and z.
The factors of 18 are 1, 2, 3, 6, 9, 18.
The only common factor between 9z and 18 is 3. Therefore, the GCF of 9z and 18 is 3.
Step 2: Divide both terms by the GCF.
Divide 9z by 3: 9z ÷ 3 = 3z
Divide 18 by 3: 18 ÷ 3 = 6
Step 3: Write the factored form using the GCF.
The factored form of 9z + 18 using the GCF is: 3(3z + 6).