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Calculate the Greatest Common Factor or GCF of 500

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The instructions to find the GCF of 500 are the next:

1. Decompose all numbers into prime factors

5002
2502
1255
255
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 500=22 . 53

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5

Common prime factors with the lowest exponent: 22, 53

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 53 = 500


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