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Calculate the Greatest Common Factor or GCF of 50400

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The instructions to find the GCF of 50400 are the next:

1. Decompose all numbers into prime factors

504002
252002
126002
63002
31502
15753
5253
1755
355
77
1

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

Prime factors of 50400=25 . 32 . 52 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 5 , 7

Common prime factors with the lowest exponent: 25, 32, 52, 71

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 = 25. 32. 52. 71 = 50400


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