French word compter comes from Latin puto, Latin com-, Latin com, and later Latin computo (I calculate, compute, reckon together.)

Detailed word origin of compter

Dictionary entry	Language	Definition
puto	Latin (lat)	(figuratively) I arrange, settle. (figuratively) I judge, suspect, suppose. (figuratively) I ponder, consider, think about. (figuratively) I value, esteem, deem, regard, consider. I clean, cleanse. I trim, prune, lop.
com-	Latin (lat)
com	Latin (lat)
computo	Latin (lat)	I calculate, compute, reckon together.
conter	Old French (fro)	To add up (count). To recount (tell a story). To tell; to say.
compter	Middle French (frm)	To recount; to tell.
compter	French (fra)	(ambitransitive) to count. (catenative) to intend. (transitive) to include. (transitive) to reckon, allow.

Words with the same origin as compter