  The subdegrees of a transitive permutation group are the orbit lengths of a
point stabilizer. For a finite primitive permutation group which is not cyclic
of prime order, the largest subdegree shares a non-trivial common factor with
each non-trivial subdegree. On the other hand it is possible for non-trivial
subdegrees of primitive groups to be coprime, a famous example being the rank 5
action of the small Janko group on 266 points which has subdegrees of lengths
11 and 12. We prove that, for every finite primitive group, the maximal size of
a set of pairwise coprime non-trivial subdegrees is at most 2.
