In the days of the Apostles spreading the good news of Jesus Christ and after his resurrection from the dead, some apostles were sent to the East while others were sent to the West. The West consisted of the Roman Catholic Church while the East comprised the Greek Orthodox Church. After the resurrection, both churches were in fact, one in the same. The fact of the matter is that the East eventually set up their headquarters as the New Rome in Constantinople.
Established in 1054, this New Rome wanted to have equal footing with the Old Rome in the West. The Old Rome basically said no to this idea, for they did not support the equality with that of the New Roman Church. Rome felt that since St. Paul and St. Peter were martyred there in Rome, that the seat of the church should always be there with the Pope of Rome who should have authority over the entire church.
Eventually, there were three differences over Dogma of the churches for the East having the Patriarch (Greek Orthodox Church) and the West having The Pope (Roman Catholic Church). The first was of the Holy Ghost disagreement and the second with the Eucharistic (bread and wine being changed into the body and blood of Jesus Christ).
Finally, the main difference is disagreement between the two churches over the Pope and the Patriarch's rule over their churches. The other separation is language and location. These differences may never be mended. However, the two churches have great respect of one another; after all, they were both created from the same church.

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