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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 34, 44, 64 and 74

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The instructions to find the GCF of 34, 44, 64 and 74 are the next:

1. Decompose all numbers into prime factors

34	2
17	17
1

44	2
22	2
11	11
1

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

74	2
37	37
1

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

Prime factors of 34	=	2 . 17
Prime factors of 44	=	2² . 11
Prime factors of 64	=	2⁶
Prime factors of 74	=	2 . 37

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 34, 44, 64 and 74

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