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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 128, 154 and 294

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The instructions to find the GCF of 128, 154 and 294 are the next:

1. Decompose all numbers into prime factors

128	2
64	2
32	2
16	2
8	2
4	2
2	2
1

154	2
77	7
11	11
1

294	2
147	3
49	7
7	7
1

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

Prime factors of 128	=	2⁷
Prime factors of 154	=	2 . 7 . 11
Prime factors of 294	=	2 . 3 . 7²

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 128, 154 and 294

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