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

The GCF is 15.

Answer 3

GCF 30 45 60 105 is 15.

Answer 4

5