What is the greatest common factor of 30 45 60 and 105?

Answer 1

30: 1, 2, 3, 5, 6, 10, 15, 30 45: 1, 3, 5, 9, 15, 45 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 105: 1, 3, 5, 7, 15, 21, 35 Therefore, the greatest common factor(GCF) of them is 15.

gcf(304560 105) = 15

Found by prime factorisation:

304560 = 2^4 x 3^4 x 5 x 47

105 = 3 x 5 x 7

hcf = 3 x 5 = 15

However, I suspect that you asked for the gcf of 30,45,60 and 105 and the commas were stripped (as they cause problems with accessing questions across the internet - putting a space after the comma would have left the numbers readable), in which case:

gcf(30, 45, 60, 105) = 15

Found by prime factorization:

30 = 2 x 3 x 5

45 = 3^2 x 5

60 = 2^2 x 3 x 5

105 = 3 x 5 x 7

hcf = 3 x 5 = 15

[Curiously the hcf is the same in both cases.)

Answer 2

Well, isn't that a happy little math question! To find the greatest common factor of 30, 45, 60, and 105, we first list the factors of each number. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The factors of 45 are 1, 3, 5, 9, 15, 45. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. The greatest common factor is 15, which is the largest number that appears in all the factor lists.

Answer 3

To find the greatest common factor (GCF) of 30, 45, 60, and 105, we first need to find the prime factorization of each number. The prime factorization of 30 is 2 x 3 x 5, 45 is 3 x 3 x 5, 60 is 2 x 2 x 3 x 5, and 105 is 3 x 5 x 7. The GCF is the product of the common prime factors with the lowest exponent, which in this case is 3 x 5 = 15. Therefore, the greatest common factor of 30, 45, 60, and 105 is 15.

Answer 4

The GCF is 15.

Answer 5

GCF 30 45 60 105 is 15.

Answer 6

5