Abstract: An assembly of ground engaging tool components which are attachable to the lip of a bucket of an earth moving machine. The assembly includes a nosepiece attachable to the lip of the bucket, an adapter attachable to the nosepiece, and a tip attachable to the adaptor. The components are attachable to one another by spigot and socket arrangements, the relevant spigot in each case defining two opposed tapered faces and a pair of side faces spacing the tapered faces from one another, at least one of the side faces of the spigot defining a groove with opposed side walls which are tapered in an opposite sense to the taper on the opposed tapered faces.