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# Which number is a common factor of any pairs of number?

Updated: 12/14/2022

Syedzakirali

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15y ago

One divides any number

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Q: Which number is a common factor of any pairs of number?
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### What conjecture must be true about the least common muitipal of any number pairs in which one number is the greatest common factor of the other number?

The LCM is the other number.

### What do you do in greatest common factor when there aren't any pairs?

There is always a common factor, even if it's only 1.

### What is a factor pair?

Factor pairs are any two numbers being multiplied to give you a certain number. Factor Pairs of 16: 8x2, 4x4, and 16x1.

### What two number pairs whose least common factor is the product of the number?

Any pair of prime or relatively prime numbers.

### 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.

### What would example of a common factor be?

Any number can be a common factor. 3 is a common factor of 9 and 12.

### 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.

### What is the least common factor of any number?

The least common factor of any set of numbers is 1.

### What is the greatest factor not common factor?

The greatest factor of any positive number is the number itself.

### What is a rational number that is a common factor?

Any non-zero integer can be a common factor.

### What are the great common factor of 2736?

You need two number to get a common factor. A single number doesn't have any.

### What number whose greatest common factor is one of the number pairs in the pair?

It can be any number if the other in the pair is its multiple. For example, if x and k are any integers then GCF(x, kx) = x