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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 56, 96 and 404

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The instructions to find the GCF of 56, 96 and 404 are the next:

1. Decompose all numbers into prime factors

56	2
28	2
14	2
7	7
1

96	2
48	2
24	2
12	2
6	2
3	3
1

404	2
202	2
101	101
1

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

Prime factors of 56	=	2³ . 7
Prime factors of 96	=	2⁵ . 3
Prime factors of 404	=	2² . 101

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 56, 96 and 404

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