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Calculate the Greatest Common Factor or GCF of 462

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The instructions to find the GCF of 462 are the next:

1. Decompose all numbers into prime factors

4622
2313
777
1111
1

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

Prime factors of 462=2 . 3 . 7 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 7 , 11

Common prime factors with the lowest exponent: 21, 31, 71, 111

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. 71. 111 = 462


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