Calculate the Greatest Common Factor or GCF of 14, 8, 37, 100 and 58
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The instructions to find the GCF of 14, 8, 37, 100 and 58 are the next:
1. Decompose all numbers into prime factors
14 | 2 |
7 | 7 |
1 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
37 | 37 |
1 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
58 | 2 |
29 | 29 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 14 | = | 2 . 7 |
Prime factors of 8 | = | 23 |
Prime factors of 37 | = | 37 |
Prime factors of 100 | = | 22 . 52 |
Prime factors of 58 | = | 2 . 29 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: None
Common prime factors with the lowest exponent: None
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.
Since there are not common prime factors the GCF is 1
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