Calculate the Greatest Common Factor or GCF of 777 and 888
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The instructions to find the GCF of 777 and 888 are the next:
1. Decompose all numbers into prime factors
| 777 | 3 |
| 259 | 7 |
| 37 | 37 |
| 1 |
| 888 | 2 |
| 444 | 2 |
| 222 | 2 |
| 111 | 3 |
| 37 | 37 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 777 | = | 3 . 7 . 37 |
| Prime factors of 888 | = | 23 . 3 . 37 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 37
Common prime factors with the lowest exponent: 31, 371
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 = 31. 371 = 111
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