King Ward
05/30/2024 · High School

What is the greatest common factor (GCF) of 12 and 18?

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To find the greatest common factor (GCF) of 12 and 18, we can start by determining the prime factorization of each number. - The prime factorization of 12 is: \[ 12 = 2^2 \times 3^1 \] - The prime factorization of 18 is: \[ 18 = 2^1 \times 3^2 \] Next, we identify the common prime factors and take the lowest power of each common factor: - For the prime factor 2, the lowest power in the factorizations is \(2^1\). - For the prime factor 3, the lowest power in the factorizations is \(3^1\). Now, we multiply these together to find the GCF: \[ \text{GCF} = 2^1 \times 3^1 = 2 \times 3 = 6 \] Thus, the greatest common factor of 12 and 18 is \(\boxed{6}\).

Quick Answer

The GCF of 12 and 18 is 6.
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