Calculate the Greatest Common Factor or GCF of 4900
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The instructions to find the GCF of 4900 are the next:
1. Decompose all numbers into prime factors
| 4900 | 2 |
| 2450 | 2 |
| 1225 | 5 |
| 245 | 5 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 4900 | = | 22 . 52 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5 , 7
Common prime factors with the lowest exponent: 22, 52, 72
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. 52. 72 = 4900
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