Gcf of 9z and 18
The greatest common factor (GCF) of 9z and 18 is 9.
To find the Greatest Common Factor (GCF) of 9z and 18, we can start by factoring each term into its prime factors.
Let's start with 9z:
9z = 3 * 3 * z
Now, let's factor 18:
18 = 2 * 3 * 3
Next, we look for common factors among the prime factors of 9z and 18. The only common factor is 3.
Therefore, the GCF of 9z and 18 is 3.
To find the greatest common factor (GCF) of 9z and 18, we can first find the prime factorization of both numbers.
The prime factorization of 9z is 3 * 3 * z.
The prime factorization of 18 is 2 * 3 * 3.
Next, we can identify the common prime factors of both numbers. In this case, the common factor is 3.
To find the GCF, we take the product of the common prime factors raised to the lowest power they appear in the prime factorizations. In this case, 3 appears as a factor with a power of 1 in both 9z and 18.
Therefore, the GCF of 9z and 18 is 3.
Alternatively, we can use another method called the Euclidean algorithm to find the GCF. The Euclidean algorithm involves repeatedly dividing the larger number by the smaller number, and then using the remainder as the divisor in the next step. This process is continued until the remainder becomes zero.
Here's the step-by-step process:
1. Divide 18 by 9z. The quotient is 2z and the remainder is 0. (18 = 9z * 2z + 0)
Since the remainder is 0, we can conclude that the GCF of 9z and 18 is 9z.