Calculate the Greatest Common Factor or GCF of 24, 246 and 285
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The instructions to find the GCF of 24, 246 and 285 are the next:
1. Decompose all numbers into prime factors
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
246 | 2 |
123 | 3 |
41 | 41 |
1 |
285 | 3 |
95 | 5 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 24 | = | 23 . 3 |
Prime factors of 246 | = | 2 . 3 . 41 |
Prime factors of 285 | = | 3 . 5 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 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 = 31 = 3
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