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Q: Can the greatest common factor of 18 and 36 be larger than 18?
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What is the greatest common factor of 2 and 4a?

Since 2 is a factor of 4a and the largest factor of 2 is 2, and thus the greatest common factor cannot be larger than 2, the greatest common factor is 2.


When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?

Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.


Can the greatest common factor of positive numbers be greater than both numbers?

No, the greatest common factor cannot be larger than any of the numbers in the set.


What is the greatest common factor for 27 and 54?

Since 27 is a factor of 54, and 27 cannot have a larger factor than itself, the greatest common factor of 27 and 54 is 27.


The greatest common factor of 15 and 45?

Since 15 is a factor of 45, and 15's largest factor cannot be larger than itself, the greatest common factor of 15 and 45 is 15.


Can the greatest common factor of 2n plus 18 be greater than 18?

No, a factor cannot be larger than the numbers it is compared to.


What is the greatest common factor of 13 26 and 91?

The greatest common factor is 13. Both 26 and 91 are divisible by 13. The greatest common factor cannot be larger than the smallest number, so the greatest common factor in this case is the smallest number - 13, since it is a factor of the other two numbers.


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 greatest common factor of 10 and 5?

The factors of 5 are: 1, and 5The factors of 10 are: 1, 5, and 10The factors common to 5 and 10 are: 1, and 5The greatest common factor is 5.


Is the greatest common factor of two numbers is equal to the lesser of the number?

Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.


What is the greatest common factor of 254?

254 cannot have a greatest common factor. To have a greatest common factor, there must be more than one number involved


What is the greatest common factor of 225 other than 225?

There is no common factor as you have to have at least 2 numbers to have a "common" factor. The greatest factor of 225 other than 225 is 75