In this study, carbon nanotube (CNT) purification results were compared between the conventional wet process using strong acids and the dry process using chlorine gas at high temperatures. To evaluate the effect of catalyst support in both methods, purification experiments were conducted using Tuball SWCNT from OCSiAl (without support) and CVD CNT synthesized with supported catalysts (Fe-Mo/MgO). Before and after treatment, the CNT samples were analyzed using scanning electron microscopy (SEM), Raman spectroscopy, and thermogravimetric analysis (TGA) to compare the morphology of CNT bundles, the distribution and content of impurities, and crystallinity. The results confirm that the dry process exhibited superior characteristics for both Tuball SWCNT and CVD CNT. In particular, changes in the IG/ID ratio observed in Raman spectroscopy and the reduction of residue in TGA clearly demonstrate high crystallinity and high-purity purification without damaging the CNTs. TGA reveals a reduction in ash content from 20.2 % to 3.2 % for Tuball SWCNT and from 63.1 % to 5.4 % for CVD CNT, while Raman spectroscopy confirms the preservation of the IG/ID ratio (~50) in Tuball SWCNT and its increase from 6.86 to 9.05 in CVD CNT. The purification method proposed in this study is expected to be effectively applied in fields requiring high-purity SWCNTs, such as electronics, sensors, and energy storage devices.