Calculate the Greatest Common Factor or GCF of 1764
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The instructions to find the GCF of 1764 are the next:
1. Decompose all numbers into prime factors
| 1764 | 2 |
| 882 | 2 |
| 441 | 3 |
| 147 | 3 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1764 | = | 22 . 32 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7
Common prime factors with the lowest exponent: 22, 32, 72
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. 32. 72 = 1764
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