Calculate the Greatest Common Factor or GCF of 819
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The instructions to find the GCF of 819 are the next:
1. Decompose all numbers into prime factors
819 | 3 |
273 | 3 |
91 | 7 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 819 | = | 32 . 7 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 7 , 13
Common prime factors with the lowest exponent: 32, 71, 131
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. 71. 131 = 819
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