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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.

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15y ago

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Related Questions

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.


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.


What is the LCM of 8 and 15 if the lesser number is a factor of the greater number?

The LCM of 8 and 15 is 120. If the lesser number were a factor of the greater number, the LCM would be the greater number.


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

Oh honey, no. The Greatest Common Factor (GCF) of two numbers is the largest number that divides both of them evenly. It's not just the lesser of the two numbers, it's the biggest number that can play nice with both of them. So, don't sell the GCF short, it's got a big job to do.


How can you test to determine if a factor is a factor of another number?

Divide the factor into the number. If the answer is a whole number, the factor is a factor.


Is there any number that are always a factor?

The only number that is always a factor is 1. This is based on my assumption that there are no decimals in your answer.


Is a common factor a number that goes into another number without having any remainders?

No, that's just a factor. A common factor is when that factor is also a factor of another number.


How can you determine if a number is a factor of another number?

If a number can be evenly divided by another number, the smaller number is a factor of the larger number.


Is a factor a multiple?

As a general rule, multiples tend to be larger than factors. This is not always true. 9 is a factor of 27. 6 is a multiple of 3. The important distinction is in the relationship to the number they are factors or multiples of. A factor will be equal to or lesser than the number. A multiple will be equal to or greater than the number.


Which number is always a factor?

The number 1.


If a number is a factor of another number can it be a multiple also of the same number?

No. A number cannot be both a factor and a multiple of another number. A number can be multiple and factor of itself, but nothing else.


What is a factor A factor is a number or quantity that when multipled with another produces a given number or expression?

A factor is a number or quantity that when multipled with another produces a given number or expression.