What is the greatest common factor of 168 180 and 450?

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

The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

The common factors are 1, 2, 3, and 6. Therefore, the greatest common factor is 6.

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

The prime factors of 168 are 2, 2, 2, 3, and 7.

The prime factors of 180 are 2, 2, 3, 3, and 5.

The prime factors of 450 are 2, 3, 3, 5, and 5.

The prime factors in common are 2 and 3, so the greatest common factor is 2 x 3 = 6.