Bad Neighbors

Two separate keys were generated for two separate systems. But corners were cut during key generation, and now they share a fatal flaw.

Key 1:

n1 = 14185983957841283021938595571397539058078303212534569781834761504722233093253361363778789385463135875699504227418491928672550632130870624276986658042297969668494690821172993131901511089542266474570863316755446873162445573643616823664994063048425065986729588675258864592541347081420797255214380728380588298506241628792295643698097916593716405137048951902036773476583449435124851983677784347098879182305115816885343960429911742838342476056198432049001165995095168400226430110718096428777867315306637259235352895589258328121073694642494978222771385055044191817303376938836875349134014012623889523772503432517391095826703
e1 = 65537

Key 2:

n2 = 16642701689284983782026600566602577740584740807814028093338587473063020554921965256949624227912014619173453205052702645237225326246342100302896910059132668450006110792873592720933608367172880032903478424649312030555581668801237358004216760695202194588406290927558551863496361188725668447821461152991661694138506147142258847856855539477008427196847151200068966958339008937055857186045316990821554284950507360432001152706739465057132970252263081404279279484343240257739030745556354553673706395400072402218414715354980969515227468475694430823206692171466617546546230047287801641057413346500414113740534424796677903614197
e2 = 65537

Ciphertext (encrypted under Key 1):

c = 11804908503972859403540891066838615453125909336906433544415291356425320134654114602688764548060305640671764161697765399367579358445924196204221634091146283245950663172661391825662210607446682400109797420290191155039326166970814298207554366893724504726789804316326335291736769215162659545940586505153207978290724923700304841661841622144264557454120165405045005608267593518654893068094324901499141494935534844554273562167774329513929789548628756215778096737414170246007112432907237522059602750960695032195494114524993336255342673446583423088469653684423967682402094244097228940810777743940893477018908105553038723815529

Note: This challenge requires manual analysis. Automated tools will not help you solve it.