Calculate the Greatest Common Factor or GCF of 11520
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The instructions to find the GCF of 11520 are the next:
1. Decompose all numbers into prime factors
11520 | 2 |
5760 | 2 |
2880 | 2 |
1440 | 2 |
720 | 2 |
360 | 2 |
180 | 2 |
90 | 2 |
45 | 3 |
15 | 3 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 11520 | = | 28 . 32 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 28, 32, 51
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 = 28. 32. 51 = 11520
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