  We develop a theory of Coulomb drag due to momentum transfer between graphene
layers in a strong magnetic field. The theory is intended to apply in systems
with disorder that is weak compared to Landau level separation, so that Landau
level mixing is weak, but strong compared to correlation energies within a
single Landau level, so that fractional quantum Hall physics is not relevant.
We find that in contrast to the zero-field limit, the longitudinal
magneto-Coulomb drag is finite, and in fact attains a maximum at the
simultaneous charge neutrality point (CNP) of both layers. Our theory also
predicts a sizable Hall drag resistivity at densities away from the CNP.
