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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.

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Q: What is the difference between common factor and 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 greatest common factor of 296 and 375?

The GCF of 296 and 375 is 1. The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 296 are 2, 2, 2, and 37. The prime factors of 375 are 3, 5, 5, and 5. They have no prime factors in common, so they are relatively prime, which means their greatest common factor is 1. Another way to approach this is to look at the difference between 296 and 375, which is 79. 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 between the numbers. Since 79 is a prime number, the greatest common factor must be either 1 or 79. Since the numbers are not divisible by 79, the greatest common factor is 1.