Calculate the Greatest Common Factor or GCF of 23520
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The instructions to find the GCF of 23520 are the next:
1. Decompose all numbers into prime factors
23520 | 2 |
11760 | 2 |
5880 | 2 |
2940 | 2 |
1470 | 2 |
735 | 3 |
245 | 5 |
49 | 7 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 23520 | = | 25 . 3 . 5 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 7
Common prime factors with the lowest exponent: 25, 31, 51, 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 = 25. 31. 51. 72 = 23520
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