Calculate the Greatest Common Factor or GCF of 403, 434 and 465
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The instructions to find the GCF of 403, 434 and 465 are the next:
1. Decompose all numbers into prime factors
| 403 | 13 |
| 31 | 31 |
| 1 |
| 434 | 2 |
| 217 | 7 |
| 31 | 31 |
| 1 |
| 465 | 3 |
| 155 | 5 |
| 31 | 31 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 403 | = | 13 . 31 |
| Prime factors of 434 | = | 2 . 7 . 31 |
| Prime factors of 465 | = | 3 . 5 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 31
Common prime factors with the lowest exponent: 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 = 311 = 31
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