The paper introduces FACT, a method for predicting alignment quality of registered lidar point cloud pairs.FACT extracts local features from a registered pair and processes them with a point transformer-based network to predict a misalignment class.FACT outperforms both direct regression and prior binary classification by introducing a custom regression-by-classification loss function.The method successfully classifies point-cloud pairs registered with ICP and GeoTransformer, and can assist in correcting misaligned point-cloud maps.