Calculate the Greatest Common Factor or GCF of 72 and 2808
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The instructions to find the GCF of 72 and 2808 are the next:
1. Decompose all numbers into prime factors
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 2808 | 2 |
| 1404 | 2 |
| 702 | 2 |
| 351 | 3 |
| 117 | 3 |
| 39 | 3 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 2808 | = | 23 . 33 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 23, 32
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 = 23. 32 = 72
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