answersLogoWhite

0


Best Answer

Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.

User Avatar

Wiki User

7y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

15y ago

A common factor of two numbers is a factor of both numbers.

The largest factor that a number has is itself, so the greatest factor that the

smaller number can have is itself. If it is a factor of the larger number then it would

be the greatest common factor. If not , the greatest common factor would have to be

smaller.

This answer is:
User Avatar

User Avatar

Wiki User

8y ago

The least common factor of any set of integers is 1. If the numbers are co-prime, then the greatest common factor will also be 1 and thus the least and greatest common factors will be the same.

This answer is:
User Avatar

User Avatar

Wiki User

8y ago

Because a number can't have a factor larger than itself.

This answer is:
User Avatar

User Avatar

Wiki User

11y ago

The product of two numbers is equal to the product of their GCF and their LCM. Divide the original product by one of them, you will get the other.

This answer is:
User Avatar

User Avatar

Wiki User

11y ago

If the divisor was larger than one of the numbers, it couldn't be a divisor. There is no factor of a number that is larger than the number.

This answer is:
User Avatar

User Avatar

Wiki User

9y ago

Because they have no other common factors that are greater.

This answer is:
User Avatar

User Avatar

Wiki User

9y ago

Only when one of the numbers is a factor of the other.

This answer is:
User Avatar

User Avatar

Wiki User

8y ago

No, the greatest of the common factors of two or more numbers is the greatest common factor, or GCF. The least common factor of two or more numbers is 1.

This answer is:
User Avatar

User Avatar

Wiki User

7y ago

Only if that number is a factor of the other.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the greatest common factor of two numbers is equal to the lesser of the number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is it true that when one number is multiple of another the greatest common factor of the numbers is greater of the numbers?

No, the lesser.


The greatest common factor of two numbers is 15 The greater number is 75 What are the possible values of the lesser number?

7


What conjecture must be true about the least common multiple of any number pairs in which one number is the greatest common factor of the other number?

Given a pair of numbers, if the lesser of the two is the GCF, the greater of the two is the LCM. This happens when one of the numbers is a factor of the other.


If one number is a factor of another number will the greatest common factor will be the lesser number. explain?

If one number is a factor of another number, the greatest common factor will be the lesser number. Example: 3 and 9 3 is a factor of 9 3 is a factor of 3 There can be no higher factor of a number than the number itself. Therefore, the GCF of 3 and 9 is 3.


When is the GCF of two numbers the same as the lesser of the two numbers?

When that number is a factor of the greater one.


Is the GCF of two numbers equal to the lesser of the numbers?

Only if that number is a factor of the other one.


If one number is a factor of another number will the GCF always be the lesser number?

Consider this:If A can be split into AB, where B is the lesser number (factor), then it can divide in. Thus, the GCF of the 2 numbers must be the lesser number, so that is true.


When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?

If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).


Can the Greatest common factor of 18 and 36 be less than 18?

If it isn't, then it can't be. The GCF of any two positive integers can never be greater than the lesser number.


When is the least common multiple of a pair of numbers that number?

When one of the numbers is a multiple of the other, the greater is the LCM and the lesser is the GCF of that set.


Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?

I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.


Is the gcf of a pair of numbers ever greater than both numbers?

No, it's never greater than the lesser number.