Calculate the Greatest Common Factor or GCF of 1560 and 2016
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The instructions to find the GCF of 1560 and 2016 are the next:
1. Decompose all numbers into prime factors
1560 | 2 |
780 | 2 |
390 | 2 |
195 | 3 |
65 | 5 |
13 | 13 |
1 |
2016 | 2 |
1008 | 2 |
504 | 2 |
252 | 2 |
126 | 2 |
63 | 3 |
21 | 3 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1560 | = | 23 . 3 . 5 . 13 |
Prime factors of 2016 | = | 25 . 32 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 23, 31
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 = 23. 31 = 24
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