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Calculate the Greatest Common Factor or GCF of 51000

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The instructions to find the GCF of 51000 are the next:

1. Decompose all numbers into prime factors

510002
255002
127502
63753
21255
4255
855
1717
1

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

Prime factors of 51000=23 . 3 . 53 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 5 , 17

Common prime factors with the lowest exponent: 23, 31, 53, 171

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 = 23. 31. 53. 171 = 51000


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