Any consecutive even numbers.
14 and 28 are two even numbers between 10 and 30 whose greatest common factor is 14.
The only factors of 2 are 1 and 2, so the greatest common factor is 2 if the other number is even or 1 if it is not. 211 is not even. Therefore, the greatest common factor is 1. Another way to solve this is by knowing that when both numbers are prime numbers, the greatest common factor is 1. Both 2 and 211 are prime numbers, so their greatest common factor is 1. One more way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 2 are 1 and 2. The factors of 211 are 1 and 211. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 2 is 2. The prime factor of 211 is 211. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.
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.
Consecutive even numbers.
Consecutive even numbers.
No. Every even number has a factor of 2. So any two even numbers share 2 as a factor. So the greatest common factor has to be at least 2.
No.
No, 2 is a common factor of all even numbers but not necessarily the greatest common factor. Take 40 and 32: 40:1,2,4,5,8,10,20,40 32:1,2,4,8,16,32 8 is the greatest common factor of these two even numbers.
Consecutive even numbers
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.
No.
Yes.
Consecutive even numbers.
Any consecutive even numbers.
Any consecutive even numbers.