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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 118, 298 and 308

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The instructions to find the GCF of 118, 298 and 308 are the next:

1. Decompose all numbers into prime factors

118	2
59	59
1

298	2
149	149
1

308	2
154	2
77	7
11	11
1

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

Prime factors of 118	=	2 . 59
Prime factors of 298	=	2 . 149
Prime factors of 308	=	2² . 7 . 11

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 118, 298 and 308

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