What is the greatest common factor of 99 and 102?

Answer 1

One way to approach this is to look at the difference between 99 and 102, which is 3. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 99 and 102 are divisible by 3, the greatest common factor is 3.

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

The factors of 99 are 1, 3, 9, 11, 33, and 99.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, and 102.

The common factors are 1 and 3. Therefore, the greatest common factor is 3.

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

The prime factors of 99 are 3, 3, and 11.

The prime factors of 102 are 2, 3, and 17.

The prime factors in common are a single 3, so the greatest common factor is 3.