Calculate the Greatest Common Factor or GCF of 360 and 1560
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The instructions to find the GCF of 360 and 1560 are the next:
1. Decompose all numbers into prime factors
| 360 | 2 |
| 180 | 2 |
| 90 | 2 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 1560 | 2 |
| 780 | 2 |
| 390 | 2 |
| 195 | 3 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 360 | = | 23 . 32 . 5 |
| Prime factors of 1560 | = | 23 . 3 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 23, 31, 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 = 23. 31. 51 = 120
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