In both Search and Typeahead, you can search by first name and last name, but it would be helpful to be able to search also by Federation ID to find exact person if there are more than one person with the same name.
The typeahead search result should also show the Federation ID along with their name so that people can distinguish between common named results. Currently, there's no way to know who is who if more than one result is returned with the exact same first/last name.