Calculate the Greatest Common Factor or GCF of 6, 16, 34 and 106
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The instructions to find the GCF of 6, 16, 34 and 106 are the next:
1. Decompose all numbers into prime factors
| 6 | 2 |
| 3 | 3 |
| 1 |
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
| 34 | 2 |
| 17 | 17 |
| 1 |
| 106 | 2 |
| 53 | 53 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 6 | = | 2 . 3 |
| Prime factors of 16 | = | 24 |
| Prime factors of 34 | = | 2 . 17 |
| Prime factors of 106 | = | 2 . 53 |
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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