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In any list of distinct numbers, one will be greater than the others. In the list of common factors, one will be the greatest.

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Q: Why is greater common factors greater than common factors?
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What are 2 numbers that have the LCM of no common factors that are greater than one?

Two numbers that have no common factors greater than one are considered co-prime or relatively prime. Their LCM is their product.


What are the greater common factor of18 and 36?

The Greatest Common Factor depends upon the numbers for which there are common factors and it is the greatest one of them; it can be greater than 18, for example the greatest common factor of 40 and 100 is 20. The greatest common factor must be one of the factors of each of the numbers. As the factors of each number cannot be greater than that number, the greatest common factor of a set of numbers cannot be greater than the least number. If this number is not greater than 18 then the greatest common factor of the numbers cannot be greater than 18. Even if the least number is greater than 18 it is possible that the greatest common factor of a set of numbers is still not greater than 18, for example the greatest common factor of 20, 30 and 50 is 10.


Why is it not possible for a common factor of 38 and 90 to be greater than 20?

The only common factors of 38 and 90 are 1 and 2, so it is not possible for a common factor of 38 and 90 to be greater than 2, much less 20.


What are two factors of 50 that are greater than 10?

25 and 50 are the factors of 50 greater than 10.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.

Related questions

What are two numbers that have no common factors greater than zero?

All numbers have common factors greater than zero.


What is the least common factor for two numbers if there are no common factors greater than 1?

The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.


What are 2 numbers that have the LCM of no common factors that are greater than one?

Two numbers that have no common factors greater than one are considered co-prime or relatively prime. Their LCM is their product.


What are common factors of 36 and 16 but greater than 10?

There are none.


What is the LCM of 2 numbers that have no common factors greater than 1?

Their product.


What two numbers have no common factors greater than one?

They are called co-primes.


A fraction is in lowest terms if the numerator and denominator have no?

...common factors greater than one.


What do 8 9 and 11 have in common?

They are all:-- real-- rational-- integers-- greater than 'pi'-- greater than 'e'-- positive (greater than zero)-- less than 12-- factors of 792


Why is Gcf of 75 and 14 isn't greater than 1?

Because 14 and 75 don't have any common factors greater than 1.


Can the greatest common factor of 18 and 36 be bigger than 18?

No. There are no factors of 18 greater than 18.


What are the greater common factor of18 and 36?

The Greatest Common Factor depends upon the numbers for which there are common factors and it is the greatest one of them; it can be greater than 18, for example the greatest common factor of 40 and 100 is 20. The greatest common factor must be one of the factors of each of the numbers. As the factors of each number cannot be greater than that number, the greatest common factor of a set of numbers cannot be greater than the least number. If this number is not greater than 18 then the greatest common factor of the numbers cannot be greater than 18. Even if the least number is greater than 18 it is possible that the greatest common factor of a set of numbers is still not greater than 18, for example the greatest common factor of 20, 30 and 50 is 10.


Why is it not possible for a common factor of 38 and 90 to be greater than 20?

The only common factors of 38 and 90 are 1 and 2, so it is not possible for a common factor of 38 and 90 to be greater than 2, much less 20.