The abrasive flow machining (AFM) process has applications in finishing internal geometries with intricate shapes. Abrasive media is crucial in such applications due to self-deformable behaviour under applied load. The parts manufactured using additive manufacturing techniques have high surface roughness, limiting their application. In the present study, the finishing behaviour of xanthan gum (XG)-based abrasive media has been analysed. The cylindrical acrylonitrile butadiene styrene (ABS) parts were printed using fused deposition modelling (FDM) and finished using AFM. An abrasive media composed of natural gum-based hydrogel and SiC abrasives has been prepared and used for finishing. The effect of extrusion pressure (EP), abrasive concentration (AC), and layer thickness (LT) were investigated on material removal (MR) and percentage improvement in surface roughness (% ΔRa). The experimental results show a maximum MR of 36 mg and a maximum % ΔRa of 27.63%.