Calculate the Greatest Common Factor or GCF of 154, 231 and 385
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The instructions to find the GCF of 154, 231 and 385 are the next:
1. Decompose all numbers into prime factors
| 154 | 2 |
| 77 | 7 |
| 11 | 11 |
| 1 |
| 231 | 3 |
| 77 | 7 |
| 11 | 11 |
| 1 |
| 385 | 5 |
| 77 | 7 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 154 | = | 2 . 7 . 11 |
| Prime factors of 231 | = | 3 . 7 . 11 |
| Prime factors of 385 | = | 5 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 7 , 11
Common prime factors with the lowest exponent: 71, 111
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 = 71. 111 = 77
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