Calculate the Greatest Common Factor or GCF of 504 and 1188
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The instructions to find the GCF of 504 and 1188 are the next:
1. Decompose all numbers into prime factors
| 504 | 2 |
| 252 | 2 |
| 126 | 2 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 1188 | 2 |
| 594 | 2 |
| 297 | 3 |
| 99 | 3 |
| 33 | 3 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 504 | = | 23 . 32 . 7 |
| Prime factors of 1188 | = | 22 . 33 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 32
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. 32 = 36
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