Calculate the Greatest Common Factor or GCF of 3696
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The instructions to find the GCF of 3696 are the next:
1. Decompose all numbers into prime factors
3696 | 2 |
1848 | 2 |
924 | 2 |
462 | 2 |
231 | 3 |
77 | 7 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 3696 | = | 24 . 3 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7 , 11
Common prime factors with the lowest exponent: 24, 31, 71, 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 = 24. 31. 71. 111 = 3696
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