Calculate the Greatest Common Factor or GCF of 84, 270 and 402
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The instructions to find the GCF of 84, 270 and 402 are the next:
1. Decompose all numbers into prime factors
| 84 | 2 |
| 42 | 2 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 270 | 2 |
| 135 | 3 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 402 | 2 |
| 201 | 3 |
| 67 | 67 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 84 | = | 22 . 3 . 7 |
| Prime factors of 270 | = | 2 . 33 . 5 |
| Prime factors of 402 | = | 2 . 3 . 67 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 31
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. 31 = 6
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