Calculate the Greatest Common Factor or GCF of 228 and 760
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The instructions to find the GCF of 228 and 760 are the next:
1. Decompose all numbers into prime factors
| 228 | 2 |
| 114 | 2 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 760 | 2 |
| 380 | 2 |
| 190 | 2 |
| 95 | 5 |
| 19 | 19 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 228 | = | 22 . 3 . 19 |
| Prime factors of 760 | = | 23 . 5 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 19
Common prime factors with the lowest exponent: 22, 191
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. 191 = 76
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