Every week each coach in both Kingstone Press Championship competitions is contacted to help produce the awards.
The former Batley player was prominent in both attack and defence as Halifax moved up to second in the Kingstone Press Championship table.
Coach Karl Harrison said: “Gareth had an outstanding game on the right wing.
“He saved three tries for us with his defence, including one that he had no right to, and also kept the ball in play by taking a penalty on the full.
“Then he came up with the match-winning try with just four minutes left to cap an excellent performance.”
Eaton said: “I know what Gavin can offer from my time at Keighley. He was just what we needed, and he’s settled in very well.
“He’s playing particularly well and has already scored a few tries, but against Hemel he was outstanding. A couple of his tries were brilliant finishes, and he’s doing exactly what we need from him.”