What is the greatest common factor of 120 and 200?

Answer 1

The GCF of 120 and 200 is 40

One of the simplest ways to work out the gcd of 2 numbers is to take their prime factors, and multiply together the ones each number has in common. In this case,

120=2x2x2x3x5, 200=2x2x2x5x5

they have three 2's and one 5 in common, highlighted in bold above, and 2x2x2x5=40.

Answer 2

Well, isn't that just a happy little question! The greatest common factor of 120 and 200 is 40. You see, the greatest common factor is the largest number that can evenly divide into both 120 and 200, creating a beautiful harmony between the two numbers.

Answer 3

The greatest common factor (GCF) of 120 and 200 is 40. To find the GCF, you need to determine the factors of each number and then identify the largest number that is a factor of both. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200. The largest number that appears in both lists is 40, making it the greatest common factor.