The mass of the top quark M_top is interesting both as a fundamental parameter of the standard model and as an important input to precision electroweak tests. The Collider Detector at Fermilab (CDF) has a robust program of top quark mass analyses, including the most precise single measurement, M_top = 173.4 +/- 2.8 GeV/c2, using 680 pb-1 of p anti-p collision data. A combination of current results from CDF gives M_top = 172.0 +/- 2.7 GeV/c2, surpassing the stated goal of 3 GeV/c2 precision using 2 fb-1 of data. Finally, a combination with current D0 results gives a world average top quark mass of 172.5 +/- 2.3 GeV/c2.