Calculate the Greatest Common Factor or GCF of 828
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The instructions to find the GCF of 828 are the next:
1. Decompose all numbers into prime factors
828 | 2 |
414 | 2 |
207 | 3 |
69 | 3 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 828 | = | 22 . 32 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 23
Common prime factors with the lowest exponent: 22, 32, 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 = 22. 32. 231 = 828
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