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Calculate the Greatest Common Factor or GCF of 400

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The instructions to find the GCF of 400 are the next:

1. Decompose all numbers into prime factors

4002
2002
1002
502
255
55
1

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

Prime factors of 400=24 . 52

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5

Common prime factors with the lowest exponent: 24, 52

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 = 24. 52 = 400


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