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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.
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What is the greatest common factor of45 and 75?
There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
What is the greatest common factor of 1440?
There cannot be a greatest common factor of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
How do you find the greatest common factor when there are no common factors?
There is always a common factor. If there are no common prime factors, the GCF is 1.
How do you find the greatest common factor of 10 and 17?
the greatest common factor is 1 because it's the only factor of 10 that 17 can be divided by without a remainder.
What is the highest common factor of 24 and 39?
There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
