Calculate the Greatest Common Factor or GCF of 10100
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The instructions to find the GCF of 10100 are the next:
1. Decompose all numbers into prime factors
10100 | 2 |
5050 | 2 |
2525 | 5 |
505 | 5 |
101 | 101 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 10100 | = | 22 . 52 . 101 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5 , 101
Common prime factors with the lowest exponent: 22, 52, 1011
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. 52. 1011 = 10100
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