Calculate the Greatest Common Factor or GCF of 468 and 1467
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The instructions to find the GCF of 468 and 1467 are the next:
1. Decompose all numbers into prime factors
468 | 2 |
234 | 2 |
117 | 3 |
39 | 3 |
13 | 13 |
1 |
1467 | 3 |
489 | 3 |
163 | 163 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 468 | = | 22 . 32 . 13 |
Prime factors of 1467 | = | 32 . 163 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 32
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 = 32 = 9
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