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Calculate the Greatest Common Factor or GCF of 51, 87, 90 and 99

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The instructions to find the GCF of 51, 87, 90 and 99 are the next:

1. Decompose all numbers into prime factors

513
1717
1
873
2929
1
902
453
153
55
1
993
333
1111
1

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

Prime factors of 51=3 . 17
Prime factors of 87=3 . 29
Prime factors of 90=2 . 32 . 5
Prime factors of 99=32 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 31

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 = 31 = 3


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