What is the greatest common factor of 30 33 and 87?

Answer 1

The difference between 30 and 33 is 3, so the greatest common factor cannot be larger than 3. Since 3 divides evenly into 30, 33, and 87, 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 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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

The factors of 87 are 1, 3, 29, and 87.

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 30 are 2, 3, and 5.

The prime factors of 33 are 3 and 11.

The prime factors of 87 are 3 and 29.

The prime factors in common are a single 3, so the greatest common factor is 3. The difference between 30 and 33 is 3, so the greatest common factor cannot be larger than 3. Since 3 divides evenly into 30, 33, and 87, 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 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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

The factors of 87 are 1, 3, 29, and 87.

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 30 are 2, 3, and 5.

The prime factors of 33 are 3 and 11.

The prime factors of 87 are 3 and 29.

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