Calculate the Greatest Common Factor or GCF of 123, 456 and 473
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The instructions to find the GCF of 123, 456 and 473 are the next:
1. Decompose all numbers into prime factors
| 123 | 3 |
| 41 | 41 |
| 1 |
| 456 | 2 |
| 228 | 2 |
| 114 | 2 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 473 | 11 |
| 43 | 43 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 123 | = | 3 . 41 |
| Prime factors of 456 | = | 23 . 3 . 19 |
| Prime factors of 473 | = | 11 . 43 |
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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