Abstract: An extractor for removing a broken-off fragment of a threaded fastener has a tubular end portion with cutting teeth on its outer end, and with a longitudinal slit which defines marginal portions that are capable of relative displacement. The extractor can be used: (1) by cutting away the exterior portions of the embedded shaft piece, with the remaining part thereof spreading the marginal elements and causing the extractor to pass thereover, or (2) by boring axially into the fragment, ultimately causing the teeth to bite into the material thereof. In either case, interengaging forces will develop to exert an unscrewing effect upon the threaded piece, and the cutting elements of the tool are constructed to be effective when it is rotated in the direction of normal removal of the broken fastener.