What is the greatest common factor of 24 and 27?

Answer 1

The greatest common factor of 24 and 27 is 3

One way to approach this is to look at the difference between 24 and 27, 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 24 and 27 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 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 27 are 1, 3, 9, and 27.

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 24 are 2, 2, 2, and 3.

The prime factors of 27 are 3, 3, and 3.

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

Summary of results:

The common factors are 1 and 3.

The greatest common factor is 3