  The parametrization D1M of the Gogny energy density functional is used to
study fission in the odd-mass Uranium and Plutonium isotopes with
A=233,\ldots,249 within the framework of the Hartree-Fock-Bogoliubov (HFB)
Equal Filling Approximation (EFA). Ground state quantum numbers and
deformations, pairing energies, one-neutron separation energies, barrier
heights and fission isomer excitation energies are given. Fission paths,
collective masses and zero point rotational and vibrational quantum corrections
are used to compute the systematic of the spontaneous fission half-lives
t$_{SF}$, the masses and charges of the fission fragments as well as their
intrinsic shapes. Although there exits a strong variance of the predicted
fission rates with respect to the details involved in their computation, it is
shown that both the specialization energy and the pairing quenching effects,
taken into account fully variationally within the HFB-EFA blocking scheme, lead
to larger spontaneous fission half-lives in odd-mass U and Pu nuclei as
compared with the corresponding even-even neighbors. It is shown that
modifications of a few percent in the strengths of the neutron and proton
pairing fields can have a significant impact on the collective masses leading
to uncertainties of several orders of magnitude in the predicted t$_{SF}$
values. Alpha-decay lifetimes have also been computed using a parametrization
of the Viola-Seaborg formula.
