Proto-Indo-European *ǵhreh₁i- "to rub" becomes Proto-Germanic *ǥrīm- "smear", then English grime. It also becomes Proto-Germanic *ǥris- "to frighten", as in "to grate on the mind". This becomes Old English grislīċ "terrifying" and Modern English grisly.
The extended form *ǵhrīs- becomes the ancient Greek verb χρί̄ω khrīō "to anoint". The "verbal adjective" of this was χρῑστός khrīstos "anointed". This is borrowed into Latin as Chrīstus, and then into English as Christ.
source: The American Heritage Dictionary of Indo-European Roots, Calvert Watkins, 2001