While the larger photosensitive area of Geiger-mode Avalanche Photodiode (GmAPDs) enhances their detection range and signal collection, improving their utility in weak light detection, their practicality is limited by long recovery times, high afterpulsing probability (AP), and excessive jitter. Utilizing a Dynamic Memristor (DM) as a quenching resistor, this research improves the count rate of a large-size GmAPD by 100× at an overvoltage of 2.5 V, compared to a fixed resistor (FR)-quenched GmAPD. Furthermore, at 1 MHz photon pulse frequency, jitter time is reduced from 3.60 ns to 0.48 ns, and afterpulsing probability is effectively mitigated from 30.88% to 8.58%.