Calculate the Greatest Common Factor or GCF of 198, 220 and 330
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The instructions to find the GCF of 198, 220 and 330 are the next:
1. Decompose all numbers into prime factors
| 198 | 2 |
| 99 | 3 |
| 33 | 3 |
| 11 | 11 |
| 1 |
| 220 | 2 |
| 110 | 2 |
| 55 | 5 |
| 11 | 11 |
| 1 |
| 330 | 2 |
| 165 | 3 |
| 55 | 5 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 198 | = | 2 . 32 . 11 |
| Prime factors of 220 | = | 22 . 5 . 11 |
| Prime factors of 330 | = | 2 . 3 . 5 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 11
Common prime factors with the lowest exponent: 21, 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 = 21. 111 = 22
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