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A factor is any number, normally an integer, that multiplies by another number or set of numbers to produce the number of which it is a factor. Eg. the factors of 32 are 1,2,4,8,16 and 32. A common factor is a factor that is shared by two numbers, and is commonly use in conjunction with the term "highest common factor", which demands the highest possible shared factor of two numbers. Eg. the common factors of 14 and 21 are 7 and 1.

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Q: What is the difference between a factor and a common factor?
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Continue Learning about Basic Math

What is the difference between the gcf and gcd?

If that's greatest common factor and greatest common divisor, there is no difference between them.


What is the difference between common factors and greatest common factors?

The greatest common factor is the largest of the common factors.


What is the greatest common factor of 84 and 86?

Answer: 2 One way to approach this is to look at the difference between 84 and 86, which is 2. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 84 and 86 are divisible by 2, the greatest common factor is 2.


What is the greatest common factor of 28 and 45?

One is the only factor that is common to both of those numbers.Factors of 28: 1 2 4 7 14 28Factors of 45: 1 3 5 9 15 45The GCF of 28 and 45 is 1Another way to approach this is to look at the difference between 28 and 45, which is 17. The greatest common factor of two numbers cannot be larger than the difference between the two numbers. The greatest common factor of two numbers must also be a factor of the difference between the numbers. The difference, 17, is a prime number, so the greatest common factor must be either 17 or 1. Since the numbers are not evenly divisible by 17, the greatest common factor is 1.


What is the difference between common factor and factor?

All integers have factors. Some integers have some of the same factors as other integers. These are known as common factors. Since 9 and 12 both have 3 as a factor, 3 is a common factor of 9 and 12.