Calculate the Greatest Common Factor or GCF of 234, 260 and 312
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The instructions to find the GCF of 234, 260 and 312 are the next:
1. Decompose all numbers into prime factors
| 234 | 2 |
| 117 | 3 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 260 | 2 |
| 130 | 2 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 312 | 2 |
| 156 | 2 |
| 78 | 2 |
| 39 | 3 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 234 | = | 2 . 32 . 13 |
| Prime factors of 260 | = | 22 . 5 . 13 |
| Prime factors of 312 | = | 23 . 3 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 13
Common prime factors with the lowest exponent: 21, 131
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. 131 = 26
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