Calculate the Greatest Common Factor or GCF of 10, 14 and 322
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The instructions to find the GCF of 10, 14 and 322 are the next:
1. Decompose all numbers into prime factors
| 10 | 2 |
| 5 | 5 |
| 1 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 322 | 2 |
| 161 | 7 |
| 23 | 23 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 10 | = | 2 . 5 |
| Prime factors of 14 | = | 2 . 7 |
| Prime factors of 322 | = | 2 . 7 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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