Digestive
late Middle English: from Old French digestif, -ive or Latin digestivus, from digest- ‘digested’, from the verb digerere (see digest).
wiktionary
From Old French digestif, from Late Latin dīgestīvus. Doublet of digestif.
etymonline
digestive (adj.)
early 15c., "of or pertaining to physiological digestion," also "promoting digestion," from Old French digestif (14c.) and directly from Late Latin digestivus "pertaining to digestion," from digest-, past-participle stem of Latin digerere "to separate, divide, arrange," etymologically "to carry apart," from dis- "apart" (see dis-) + gerere "to carry" (see gest).
Earlier in English as a noun, "a preparation or medicine which aids digestion" (late 14c.), from French, short for medecin digestif. The noun in the French form digestif is attested from 1908.