How many natural numbers greater than 6 but less than 60 are relatively prime to 15?

Any that are not divisible by 3 or 5

7, 8, 11, 13, 14, 16, 17, 19, 22, 23, 26, 28, 29, 31, 32, 34, 37, 38, 41, 43, 44, 46, 47, 49, 52, 53, 56, 58, 59

If I didn't miss any....I get 29

That is correct, CPhill!