Calculate the Greatest Common Factor or GCF of 123 and 451
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The instructions to find the GCF of 123 and 451 are the next:
1. Decompose all numbers into prime factors
123 | 3 |
41 | 41 |
1 |
451 | 11 |
41 | 41 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 123 | = | 3 . 41 |
Prime factors of 451 | = | 11 . 41 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 41
Common prime factors with the lowest exponent: 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 = 411 = 41
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