Calculate the Greatest Common Factor or GCF of 46656
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The instructions to find the GCF of 46656 are the next:
1. Decompose all numbers into prime factors
| 46656 | 2 |
| 23328 | 2 |
| 11664 | 2 |
| 5832 | 2 |
| 2916 | 2 |
| 1458 | 2 |
| 729 | 3 |
| 243 | 3 |
| 81 | 3 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 46656 | = | 26 . 36 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 26, 36
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 = 26. 36 = 46656
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