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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 112, 144 and 418

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The instructions to find the GCF of 112, 144 and 418 are the next:

1. Decompose all numbers into prime factors

1122
562
282
142
77
1
1442
722
362
182
93
33
1
4182
20911
1919
1

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

Prime factors of 112=24 . 7
Prime factors of 144=24 . 32
Prime factors of 418=2 . 11 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 21

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 = 2

Also calculates the:

Least Common Multiple or LCM of 112, 144 and 418

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