What is the greatest common factor of 350 and 450?

Answer 1

Answer:

The greatest common factor of 350 and 450 is 50.

The common factors of 350 and 450 are 1, 2, 5, 10, 25, and 50.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350.

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, 5, 10, 25, and 50. Therefore, the greatest common factor is 50.

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

The prime factors of 350 are 2, 5, 5, and 7.

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

The prime factors in common are 2, 5, and 5, so the greatest common factor is 2 x 5 x 5 = 50.