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Question: 1 / 400

What is the greatest common factor of 12 and 18?

To find the greatest common factor (GCF) of 12 and 18, we start by determining the prime factorization of both numbers.

The prime factorization of 12 is:

- 12 = 2 × 2 × 3, or $2^2 \times 3^1$.

The prime factorization of 18 is:

- 18 = 2 × 3 × 3, or $2^1 \times 3^2$.

Next, we identify the common factors. The GCF is found by taking the lowest power of all prime factors that appear in both factorizations.

- For the prime factor 2, the lowest power between $2^2$ (from 12) and $2^1$ (from 18) is $2^1$.

- For the prime factor 3, the lowest power between $3^1$ (from 12) and $3^2$ (from 18) is $3^1$.

Now, we multiply these common factors:

- GCF = $2^1 \times 3^1 = 2 \times 3 = 6$.

Thus, the

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