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Calculate the Greatest Common Factor or GCF of 726

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The instructions to find the GCF of 726 are the next:

1. Decompose all numbers into prime factors

7262
3633
12111
1111
1

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

Prime factors of 726=2 . 3 . 112

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 11

Common prime factors with the lowest exponent: 21, 31, 112

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. 31. 112 = 726


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