early 15c., "having great power or force, controlling, ruling," from Latin praevalentem (nominative praevalens) "of superior strength; mighty," present participle of praevalere "to be more able," from prae "before" (see pre-) + valere "have power, be strong" (from PIE root *wal- "to be strong"). Meaning "widespread, extensively existing, in general use" is from 1650s.
prettyish
pretzel
prevail
prevailing
prevalence
prevalent
prevaricate
prevarication
prevaricator
prevenient
prevent