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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 112, 168 and 268

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The instructions to find the GCF of 112, 168 and 268 are the next:

1. Decompose all numbers into prime factors

112	2
56	2
28	2
14	2
7	7
1

168	2
84	2
42	2
21	3
7	7
1

268	2
134	2
67	67
1

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

Prime factors of 112	=	2⁴ . 7
Prime factors of 168	=	2³ . 3 . 7
Prime factors of 268	=	2² . 67

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2²

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 = 2² = 4

Also calculates the:

Least Common Multiple or LCM of 112, 168 and 268

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