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Q: What is the greatest common factor of two numbers whose sum is 24 and whose difference is 6?
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Related Questions

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

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.


What is the greatest factor that two or more numbers have in common?

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.


What is the greatest common factor of 99 and 110?

One way to approach this is to look at the difference between 99 and 110, which is 11. 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 99 and 110 are divisible by 11, the greatest common factor is 11.


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 2 and 3?

The greatest common factor of 2 and 3 is 1. This is because 2 and 3 are prime numbers, that is, they only have themselves and one as factors. NOTE: Any time that one of the numbers is a prime number and the other is not a multiple of that prime number, the greatest common factor is 1. Another way to approach this, especially with larger numbers (but this makes a good example) is to look at the difference between 2 and 3, which is 1. 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. If the difference is 1, the greatest common factor is 1.


What number is the greatest common factors of a number under 50?

If we are trying to find the two numbers less than 50 with the greatest common factor, we need to pick two numbers with a larger difference between them, since the greatest common factor between two numbers cannot be greatest than the difference between the two numbers. To create a large difference, we will want one number to be close in value to 50. And, for the greatest common factor, we want the other number itself to be the greatest common factor. The greatest common factor that the larger number can have (since it is larger and thus cannot be the greatest common factor itself) is the number which is half its value. So, if we choose the even number closest in value to 50, we get 48. Then, if we take half of it, we get 24. The greatest common factor of 24 and 48 is 24. This is the largest possible greatest common factor of a pair of numbers less than 50.


What is the difference of greatest common factor and the greatest common divisor?

No difference.


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 for 28?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is the greatest common factor of 270?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is the greatest common factor for 712?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is greatest common factor of 39?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


Greatest common factor of 42?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is the greatest common factor of 374?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is the greatest common factor of 410?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What are the greatest common factor of 9?

It is meaningless to ask "What are the greatest common factor of 9". There should be two or more numbers. Greatest common factor means the greatest number which is the common factor of all the numbers mentioned.


What are the common factors and greatest common factor of 125?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.


What is the greatest common factor of 16 and 27?

The numbers 16 and 27 don't have any common prime factors. 16 = 2 x 2 x 2 x 2 27 = 3 x 3 x 3 Therefore, the numbers are relatively prime and their greatest common factor is 1. Another way to approach this is to look at the difference between 16 and 27, which is 11. 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, 11, is a prime number, so the greatest common factor must be either 11 or 1. Since the numbers are not evenly divisible by 11, so the greatest common factor is 1.


What is the greatest factor shared by 2 numbers?

That's the greatest common factor, or GCF.


What one number has the greatest common factor of 871?

Answer: None, it is impossible. No single number has a greatest common factor. A "common factor" is a factor that two or more numbers have in common. The "greatest common factor" is the largest factor that two or more numbers have in common.


Is there the greatest of the common factors of two more numbers is the least common factor of the numbers?

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.


Is the greatest common factor how many of each type?

No. The Greatest Common Factor (GCF) is the greatest factor that is in common with the numbers you are given.


What is the difference between greatest common factor and least common factor using the numbers 6 and 8?

The GCF is 2. The LCF is 1. The difference is 1.


Does 37 have a greatest common factor?

No. There is not a greatest common factor of a single number, such as 37, because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common.


What are the greatest common factors of nine?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.