Each SEO tool has its own proprietary algorithm for calculating keyword difficulty. These algorithms consider various factors such as backlink profile, domain authority, and content relevance differently, leading to variations in the reported scores. For example if you check http://Californiajunkremovalandhauling.com this website in Moz, Moz will show Da: 8 and Ahrefs shows DR: 5, and some details different, Traffic, Links etc....
While Moz and Ahrefs are both reputable SEO tools, it's common to encounter variations in keyword difficulty scores between them due to differences in algorithms, data sources, update frequencies, methodologies, and sampling.
It's essential to consider these factors and use multiple sources of data when conducting keyword research and analyzing keyword difficulty.