Calculate the Greatest Common Factor or GCF of 3542
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The instructions to find the GCF of 3542 are the next:
1. Decompose all numbers into prime factors
| 3542 | 2 |
| 1771 | 7 |
| 253 | 11 |
| 23 | 23 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3542 | = | 2 . 7 . 11 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7 , 11 , 23
Common prime factors with the lowest exponent: 21, 71, 111, 231
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. 71. 111. 231 = 3542
Also calculates the:
