Calculate the Greatest Common Factor or GCF of 9, 33 and 333
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The instructions to find the GCF of 9, 33 and 333 are the next:
1. Decompose all numbers into prime factors
9 | 3 |
3 | 3 |
1 |
33 | 3 |
11 | 11 |
1 |
333 | 3 |
111 | 3 |
37 | 37 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 9 | = | 32 |
Prime factors of 33 | = | 3 . 11 |
Prime factors of 333 | = | 32 . 37 |
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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