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Calculate the Greatest Common Factor or GCF of 705

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The instructions to find the GCF of 705 are the next:

1. Decompose all numbers into prime factors

7053
2355
4747
1

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

Prime factors of 705=3 . 5 . 47

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5 , 47

Common prime factors with the lowest exponent: 31, 51, 471

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 = 31. 51. 471 = 705


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