Calculate the Greatest Common Factor or GCF of 1182 and 2352
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The instructions to find the GCF of 1182 and 2352 are the next:
1. Decompose all numbers into prime factors
| 1182 | 2 |
| 591 | 3 |
| 197 | 197 |
| 1 |
| 2352 | 2 |
| 1176 | 2 |
| 588 | 2 |
| 294 | 2 |
| 147 | 3 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1182 | = | 2 . 3 . 197 |
| Prime factors of 2352 | = | 24 . 3 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 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 = 21. 31 = 6
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