Calculate the Greatest Common Factor or GCF of 1296 and 2320
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The instructions to find the GCF of 1296 and 2320 are the next:
1. Decompose all numbers into prime factors
| 1296 | 2 |
| 648 | 2 |
| 324 | 2 |
| 162 | 2 |
| 81 | 3 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 2320 | 2 |
| 1160 | 2 |
| 580 | 2 |
| 290 | 2 |
| 145 | 5 |
| 29 | 29 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1296 | = | 24 . 34 |
| Prime factors of 2320 | = | 24 . 5 . 29 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 24
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 = 24 = 16
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