Calculate the Greatest Common Factor or GCF of 68, 130 and 290
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The instructions to find the GCF of 68, 130 and 290 are the next:
1. Decompose all numbers into prime factors
| 68 | 2 |
| 34 | 2 |
| 17 | 17 |
| 1 |
| 130 | 2 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 290 | 2 |
| 145 | 5 |
| 29 | 29 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 68 | = | 22 . 17 |
| Prime factors of 130 | = | 2 . 5 . 13 |
| Prime factors of 290 | = | 2 . 5 . 29 |
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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