We present recent results on top quark physics and B physics with the Collider Detector at Fermilab (CDF). These results come from analyses using a full data sample at an integrated luminosity of 109 pb^-1. We describe the measurements of the top quark mass and the ttbar production cross section in 1.8-TeV ppbar collisions. We measure the top quark mass to be 175.9 +/- 6.9 GeV/c^2 and the ttbar production cross section to be 7.6^+1.8_ -1.5 pb. We also present the measurements of the lifetimes of B-hadrons and the time-dependent B^0-Bbar^0 mixing which results in the mass difference between heavy and light B^0_d mesons (Delta m_d) of 0.464 +\- 0.030(stat) +\- 0.026(syst) ps^-1.