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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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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.

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

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.

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.

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.

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.

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.

No difference.

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.

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.

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.

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