  We generalize a classical result concerning smooth germs of surfaces, by
proving that monodromies on links of isolated complex surface singularities
associated with reduced holomorphic map germs admit a positive factorization.
As a consequence of this and a topological characterization of these
monodromies by Anne Pichon, we conclude that a pseudoperiodic homeomorphism on
an oriented surface with boundary with positive fractional Dehn twist
coefficients and screw numbers, admits a positive factorization. We use the
main theorem to give a sufficiency criterion for certain pseudoperiodic
homeomorphisms with negative screw numbers to admit a positive factorization.
