How do you find the GCF?

1. List the prime factors of each number.

2. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

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To find the Greatest Common Factor (GCF) of two or more numbers, you can follow these steps:

1. List out the prime factors of each number: Start by breaking down each number into its prime factors. Prime factors are the prime numbers that, when multiplied together, give the original number. For example, the prime factors of 12 are 2, 2, and 3 (since 2 × 2 × 3 = 12).

2. Identify the common prime factors: Look for the prime factors that appear in all the numbers you are trying to find the GCF for. For example, if you are finding the GCF of 12 and 18, you can see that both numbers share the factor 2.

3. Multiply the common prime factors: Multiply all the common prime factors together. In this case, multiply the common factor 2 by itself since it appears twice (2 × 2 = 4).

4. Determine the GCF: The product obtained in the previous step is the GCF of the given numbers. In our example, the GCF of 12 and 18 is 4.

Additionally, you can use other methods like using a factor tree or the division method to find the GCF. By following these steps, you can find the GCF for any given set of numbers.