Friday's transaction means that Cleveland traded away each of its three quarterbacks from 2017.
The deal completes a quarterback overhaul by new general manager John Dorsey.
In announcing the deal Friday, Washington said it will send a sixth-round pick (No. 188 overall) to the Cleveland for Hogan and the Browns' sixth-round pick (No. 205 overall) as the teams swapped sixth-rounders in the upcoming draft. Dorsey previously traded last year's starter, DeShone Kizer, to the Green Bay Packers for cornerback Damarious Randall, and Cody Kessler to the Jacksonville Jaguars for a conditional 2019 seventh-round draft pick.
As for Hogan, he asked for permission to seek a trade earlier this week when it became pretty clear that the Browns had no use for him.
Hogan was originally taken in the fifth round of the 2016 NFL Draft by the Kansas City Chiefs before he was subsequently released a few months later. He never played for the Chiefs and after being released he signed with the Cleveland Browns on September 5, 2016. In that first year, his quarterback rating was 64.1. He went 60-for-101 with four touchdown passes and seven interceptions. Kevin can sit behind both Alex Smith and Colt McCoy, and learn how to approach the position.
In two seasons with the Browns, Hogan played in eight games and started one. The team has expressed a desire to keep McCoy around.