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# Why is it important to find the greatest common factor?

Updated: 8/29/2023

Wiki User

11y ago

Because some numbers have a lot of factors. Consider 2520. The factor pairs (2520,1)(504,5)(360,7)(315,8)(280,9)(72,35)(63,40)(56,45) all are relatively prime, which means that they have a GCF of 1. Whenever a pair of numbers has a GCF of 1, the LCM is their product, which in this case is 2520. So here are 8 distinct sets of numbers with the same GCF and LCM. It happens more frequently the more factors you have.

Wiki User

11y ago

Wiki User

12y ago

the purpose of finding the gcf is to see if the two numbers are in lowest term

Wiki User

14y ago

Factor and divisor are synonyms in this context.

Wiki User

12y ago

Because factors and divisors are the same thing: numbers that divide into a product evenly.

Wiki User

11y ago

Finding the GCF helps to reduce fractions and factor polynomials.

Wiki User

12y ago

Finding the GCF helps you to reduce fractions.

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