Calculate the Greatest Common Factor or GCF of 72 and 3774
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The instructions to find the GCF of 72 and 3774 are the next:
1. Decompose all numbers into prime factors
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 3774 | 2 |
| 1887 | 3 |
| 629 | 17 |
| 37 | 37 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 3774 | = | 2 . 3 . 17 . 37 |
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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