Calculate the Greatest Common Factor or GCF of 3689
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The instructions to find the GCF of 3689 are the next:
1. Decompose all numbers into prime factors
| 3689 | 7 |
| 527 | 17 |
| 31 | 31 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3689 | = | 7 . 17 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 7 , 17 , 31
Common prime factors with the lowest exponent: 71, 171, 311
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 = 71. 171. 311 = 3689
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