Q: What is the greatest even factor of 180 that is less than 90?

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It can be and is.

The greatest positive even integer less than 12 is 10

what is the number that has three digits less than 140 has7 factor the sum of the digits of the number is less than 9

Yes, the GCF of any set of numbers must be less than or equal to the smallest member of the set. It cannot be greater. In this case, it is not 16 so it is less than 16.

112

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256 is the greatest even square number that is less than 300.

It can be and it is.

It can and is.

Yes, the greatest common factor of 16 and 42 can be and is less than 16. The GCF of 16 and 42 is 2..

Since 16 is not a factor of 40, the GCF must be less than 16.

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.

It isn't.

6

It can be and is.

The greatest positive even integer less than 12 is 10

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

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.