Calculate the Greatest Common Factor or GCF of 37638
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The instructions to find the GCF of 37638 are the next:
1. Decompose all numbers into prime factors
37638 | 2 |
18819 | 3 |
6273 | 3 |
2091 | 3 |
697 | 17 |
41 | 41 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 37638 | = | 2 . 33 . 17 . 41 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 17 , 41
Common prime factors with the lowest exponent: 21, 33, 171, 411
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 = 21. 33. 171. 411 = 37638
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