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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 80, 124 and 144

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The instructions to find the GCF of 80, 124 and 144 are the next:

1. Decompose all numbers into prime factors

80	2
40	2
20	2
10	2
5	5
1

124	2
62	2
31	31
1

144	2
72	2
36	2
18	2
9	3
3	3
1

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

Prime factors of 80	=	2⁴ . 5
Prime factors of 124	=	2² . 31
Prime factors of 144	=	2⁴ . 3²

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 80, 124 and 144

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