Calculate the Greatest Common Factor or GCF of 3654
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The instructions to find the GCF of 3654 are the next:
1. Decompose all numbers into prime factors
3654 | 2 |
1827 | 3 |
609 | 3 |
203 | 7 |
29 | 29 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 3654 | = | 2 . 32 . 7 . 29 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7 , 29
Common prime factors with the lowest exponent: 21, 32, 71, 291
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 = 21. 32. 71. 291 = 3654
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