What is the greatest common factor of 225 and 420?

Answer 1

To find the greatest common factor (GCF) of 225 and 420, we first need to find the prime factorization of each number.

225 = 3 x 3 x 5 x 5 420 = 2 x 2 x 3 x 5 x 7

Next, we identify the common factors between the two prime factorizations, which are 3 and 5.

Therefore, the GCF of 225 and 420 is 3 x 5 = 15.

Answer 2

The factors of 225 are:

1, 3, 5, 9, 15, 25, 45, 75, 225

The factors of 420 are:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

The common factors are:

1, 3, 5, 15

The Greatest Common Factor (GCF) is: 15

Answer 3

The common factors of 210 and 420 are: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Answer 4

Since 15 is a factor of 210, all of its factors are common.