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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 16, 160 and 190

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The instructions to find the GCF of 16, 160 and 190 are the next:

1. Decompose all numbers into prime factors

16	2
8	2
4	2
2	2
1

160	2
80	2
40	2
20	2
10	2
5	5
1

190	2
95	5
19	19
1

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

Prime factors of 16	=	2⁴
Prime factors of 160	=	2⁵ . 5
Prime factors of 190	=	2 . 5 . 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 16, 160 and 190

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