What is the greatest common factor of 3 and 22?

Answer 1

Since 3 is a Prime number, its only factors are 1 and 3, so the greatest common factor of 3 and 22 must be either 1 or 3. Since 3 does not divide 22, the greatest common factor is 1.

Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 3 are 1 and 3.

The factors of 22 are 1, 2, 11, and 22.

The only common factor is 1. Therefore, the greatest common factor is 1.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factor of 3 is 3.

The prime factors of 22 are 2 and 11.

There are no prime factors in common, so the numbers are relatively prime, which means their greatest common factor is 1.