If Kf was zero, that would mean that no adsorption takes place. That would mean your experimental curve would have to be a flat line. If that is not the case, something went wrong with your fit.
I am wondering whether it was indeed Kf or log Kf. Commonly (not always), the determination of the Freundlich model parameters is performed using log log transformation, i.e., obtaining a straight line between log (sorbed concentration) vs. log (solution concentration/vapor pressure). If, by chance, it was the case, then, the outcome is log (or ln) KF which means Kf=1.