What is the greatest common factor of 2 and 211?

Answer 1

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.