Studies of the total elastic, spin-change and diffusion cross sections in elastic collisions of bosonic Fr isotopes at ultra-cold temperatures are reported. Parametric interaction potentials for singlet and triplet states of Fr isotopes are constructed and used in calculations of the detailed elastic scattering of Fr isotopes in the shape resonance region. As functions of energy, the elastic, spin-change and diffusion cross sections show considerable structure and are large in the limit of low temperature. For temperatures from 32 picoK to 3 K, we compare the numeric and the semiclassical results. Even at temperatures of a few degrees Kelvin, the spin-change and the diffusion cross sections are large and could provide an efficient way to produce condensed Fr.