What things have you repeatedly been complemented for? What are the common positive comments you receive on your performance reviews? These can be great starting points for identifying your greatest strength! Share one of these things with the interviewer stating that others have told you this is your greatest strength. Next, share how this strength will help you as a supervisor. You might say something like this, "I have been told by past managers that my greatest strength is my ability to strike up a conversation with anyone! As a supervisor, this will help me build relationships with my employees making us a stronger team."