  We extend some results of [BF12] on subfactor projections to show that the
projection of a free factor B to the free factor complex of the free factor A
is well-defined with uniformly bound diameter, unless either A is contained in
B or A and B are vertex stabilizers of a single splitting of F_n, i.e. they are
disjoint. These projections are shown to satisfy properties analogous to
subsurface projections, and we give as an application a construction of fully
irreducible outer automorphisms using the Bounded Geodesic Image Theorem.
