We measured the field profiles, H(x,Ha) s, near the surface of coated conductors (CCs) by using the scanning Hall probe method. The samples were SmBCO-CC tape fabricated by co-evaporation method and YBCO-CC tape fabricated by PLD method. The applied fields, Has, were decreased from Hpeakto -Hpeak stepwise. From the values of H(x,Ha), we calculated the current profiles, J(x,Ha) s, by the inversion method. From the values of J(x,Ha) and the corresponding flux densities, we calculated the hysteretic energy losses per cycle, QMs, for various Hpeaks. From the values of QM, we calculated the characteristic functions, gs, by using the relation, g= πQM/μ0I2c. Here, Ic is the critical current. For the range of Hpeak/Hc≤ 3, the g-values of SmBCO CC tape were larger than those of YBCO CC tape. However, for the range of Hpeak/Hc ≥ 3, the g-values of SmBCO CC tape were smaller than those of YBCO CC tape. When Hpeak/Hc = 3, both sample show almost same value of g.However we found qualitatively different J–B hysteretic curves for both samples. We also compared our g-values with other g-values, which were directly measured by energy loss experiments. Our g-values of YBCO CC tapes were basically similar to the Brandt's theoretical values of g in the most range of Ipeak in our measurements.