What is the greatest common factor of 120 and 210?

Answer 1

The GCF of 120 and 210 is 30.

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

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 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

The common factors are 1, 2, 3, 6, 10, 15, and 30. Therefore, the greatest common factor is 30.

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

The prime factors of 120 are 2, 2, 2, 3, and 5.

The prime factors of 210 are 2, 3, 5, and 7.

The prime factors in common are 2, 3, and 5, so the greatest common factor is 2 x 3 x 5 = 30.

Answer 2

Well, honey, the greatest common factor of 120 and 210 is 30. It's like finding the perfect pair of shoes that both numbers can comfortably slip into without any squishing or pinching. So, there you have it, 30 is the magic number that these two can both agree on.

Answer 3

To find the greatest common factor (GCF) of 120 and 210, we need to determine the largest number that divides evenly into both numbers. One way to do this is to find the prime factorization of each number. The prime factorization of 120 is 2^3 * 3 * 5, and the prime factorization of 210 is 2 * 3 * 5 * 7. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 2 * 3 * 5 = 30. Therefore, the greatest common factor of 120 and 210 is 30.

Answer 4

Oh, dude, the greatest common factor of 120 and 210 is 30. It's like the cool kid at the math party that both 120 and 210 can hang out with without any drama. So yeah, 30 is the number they both divide into without any leftovers.

Answer 5

10

Answer 6

10