Calculate the Greatest Common Factor or GCF of 72, 82 and 92
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The instructions to find the GCF of 72, 82 and 92 are the next:
1. Decompose all numbers into prime factors
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 82 | 2 |
| 41 | 41 |
| 1 |
| 92 | 2 |
| 46 | 2 |
| 23 | 23 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 82 | = | 2 . 41 |
| Prime factors of 92 | = | 22 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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