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Calculate the Greatest Common Factor or GCF of 76, 114 and 152

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The instructions to find the GCF of 76, 114 and 152 are the next:

1. Decompose all numbers into prime factors

762
382
1919
1
1142
573
1919
1
1522
762
382
1919
1

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

Prime factors of 76=22 . 19
Prime factors of 114=2 . 3 . 19
Prime factors of 152=23 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 19

Common prime factors with the lowest exponent: 21, 191

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. 191 = 38


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