Calculate the Greatest Common Factor or GCF of 3564
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The instructions to find the GCF of 3564 are the next:
1. Decompose all numbers into prime factors
| 3564 | 2 |
| 1782 | 2 |
| 891 | 3 |
| 297 | 3 |
| 99 | 3 |
| 33 | 3 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3564 | = | 22 . 34 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 11
Common prime factors with the lowest exponent: 22, 34, 111
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 = 22. 34. 111 = 3564
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