0

# Can the greatest common factor of 16 and 42 be less than 16 why?

Updated: 11/1/2022

Wiki User

12y ago

The only rule is that the GCF has to be equal to or less than the lower number. Since 16 is not the GCF of 16 and 42, the GCF has to be lower than 16.

Wiki User

12y ago

Earn +20 pts
Q: Can the greatest common factor of 16 and 42 be less than 16 why?
Submit
Still have questions?
Continue Learning about Math & Arithmetic

### Can 16 and 42's greatest common factor be less than 16?

It can be and is.

60

### Can the greatest common factor of 16and42 be less than 16?

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.

### When is the LCM of 2 numbers less than their product?

When they have a common prime factor. When their GCF is greater than 1.

### What is the GCF of 28 and 14?

-14 = -1*1428 = 2*14Thus the GCF is 14. Do not be inclined to believe that the GCF is -14. Although -14 may be a common factor, it is less than 14, hence not the greatest common factor.

Related questions

### 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 16 and 42 be less then 16?

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

### Can the greatest common factor of 16 and 42 to be less than 16?

It can be and it is.

It can and is.

It isn't.

6

### Can 16 and 42's greatest common factor be less than 16?

It can be and is.

### What is the greatest common factor of two whole numbers less than or equal to 100?

When they have a factor in common greater than one.

### Can the greatest common factor of 16 and 40 to be less than 16 explain?

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

### 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 254?

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

### Can the greatest common factor of 18 and 36 be greaater than 18 explain?

No. In order for something to be a factor of a number, it has to be less than or equal to the number.