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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 78, 190 and 404

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The instructions to find the GCF of 78, 190 and 404 are the next:

1. Decompose all numbers into prime factors

78	2
39	3
13	13
1

190	2
95	5
19	19
1

404	2
202	2
101	101
1

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

Prime factors of 78	=	2 . 3 . 13
Prime factors of 190	=	2 . 5 . 19
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: 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 78, 190 and 404

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