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Calculate the Greatest Common Factor or GCF of 1461 and 2367

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The instructions to find the GCF of 1461 and 2367 are the next:

1. Decompose all numbers into prime factors

14613
487487
1
23673
7893
263263
1

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

Prime factors of 1461=3 . 487
Prime factors of 2367=32 . 263

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 31

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 = 31 = 3


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