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Calculate the Greatest Common Factor or GCF of 765

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The instructions to find the GCF of 765 are the next:

1. Decompose all numbers into prime factors

7653
2553
855
1717
1

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

Prime factors of 765=32 . 5 . 17

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5 , 17

Common prime factors with the lowest exponent: 32, 51, 171

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. 51. 171 = 765


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