Calculate the Greatest Common Factor or GCF of 20100
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The instructions to find the GCF of 20100 are the next:
1. Decompose all numbers into prime factors
20100 | 2 |
10050 | 2 |
5025 | 3 |
1675 | 5 |
335 | 5 |
67 | 67 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 20100 | = | 22 . 3 . 52 . 67 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 67
Common prime factors with the lowest exponent: 22, 31, 52, 671
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. 31. 52. 671 = 20100
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