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Calculate the Greatest Common Factor or GCF of 806

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The instructions to find the GCF of 806 are the next:

1. Decompose all numbers into prime factors

8062
40313
3131
1

2. Write all numbers as the product of its prime factors

Prime factors of 806=2 . 13 . 31

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 13 , 31

Common prime factors with the lowest exponent: 21, 131, 311

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 = 21. 131. 311 = 806


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