Photonic Crystal (PC) based optical devices have been widely explored in recent era due to their capability of miniaturization and large-scale integration of optical and opto-electronic devices. In this paper, two dimensional PC based Single Loop, Double Loop (Horizontal) and Double Loop (Vertical) Ring Resonators using hexagonal lattice structure is designed and analyzed. It reports the Discrete Fourier Transform (DFT) analysis using Finite Difference Time Domain (FDTD) method and calculates the Photonic Band Gap (PBG) using Plane Wave Expansion (PWE) method. The comparative analysis of three configurations based on Q factor reports the outperformance of double loop photonic crystal ring resonator (PCRR) with lattice constants A = 30 and C = 30 at 1550 nm with Q factor 17,000. The Q factor for double loop horizontal and single loop structure is 16,300 and 15,500 at 1550 nm.