Calculate the Greatest Common Factor or GCF of 23460
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The instructions to find the GCF of 23460 are the next:
1. Decompose all numbers into prime factors
23460 | 2 |
11730 | 2 |
5865 | 3 |
1955 | 5 |
391 | 17 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 23460 | = | 22 . 3 . 5 . 17 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 17 , 23
Common prime factors with the lowest exponent: 22, 31, 51, 171, 231
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. 31. 51. 171. 231 = 23460
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