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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 88, 184 and 280

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The instructions to find the GCF of 88, 184 and 280 are the next:

1. Decompose all numbers into prime factors

88	2
44	2
22	2
11	11
1

184	2
92	2
46	2
23	23
1

280	2
140	2
70	2
35	5
7	7
1

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

Prime factors of 88	=	2³ . 11
Prime factors of 184	=	2³ . 23
Prime factors of 280	=	2³ . 5 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2³

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 = 2³ = 8

Also calculates the:

Least Common Multiple or LCM of 88, 184 and 280

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