  We show how to derive hyperbolicity of the free factor complex of $F_N$ from
the Handel-Mosher proof of hyperbolicity of the free splitting complex of
$F_N$, thus obtaining an alternative proof of a theorem of Bestvina-Feighn. We
also show that under the natural map $\tau$ from the free splitting complex to
free factor complex, a geodesic $[x,y]$ maps to a path that is uniformly
Hausdorff-close to a geodesic $[\tau(x),\tau(y)]$ .
