If you are changing a 13 tooth for a 14 tooth then the new revs would be 13/14 of the original. Therefore, 2800 rpm would drop to 2600 rpm. This, IMHO, would not be enough to make it worthwhile.
Another thing to note is that due to both 13 and 37 being prime numbers, there is a minimal number of times when a particular part of each unit matches up. In this case, once in every 481 revolutions. With a 14 tooth gear it would be every 74 revolutions. This reduces wear if there is a small tolerance creep in one part of the system and is old school British engineering practice.