Show that 1,078 and 3,315 are relatively prime

Start out with obvious factors, 2 and 5

1078 = 2* 539
3315 = 5* 663
none common yet :) now work with 539 and 663
539 = 7 * 77 = 7*7*11

663/7 = not whole number
663/11 = not whole number
therefore no common factors so relatively prime