Calculate the Greatest Common Factor or GCF of 2109
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The instructions to find the GCF of 2109 are the next:
1. Decompose all numbers into prime factors
2109 | 3 |
703 | 19 |
37 | 37 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2109 | = | 3 . 19 . 37 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 19 , 37
Common prime factors with the lowest exponent: 31, 191, 371
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 = 31. 191. 371 = 2109
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