Calculate the Greatest Common Factor or GCF of 1404
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The instructions to find the GCF of 1404 are the next:
1. Decompose all numbers into prime factors
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 1404 | = | 22 . 33 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 13
Common prime factors with the lowest exponent: 22, 33, 131
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. 33. 131 = 1404
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