The two other Super League sides entering the competition at this stage, Hull and Wakefield, will face Sheffield and Halifax respectively.
The home teams were drawn by former Hull FC legend Johnny Whiteley MBE who made 417 appearances for the Airlie Birds and featured in the 1959 Challenge Cup final. The away teams were drawn by former Hull Kingston Rovers player Phil Lowe who was part of the 1980 Challenge Cup team that beat their city rivals 10-5 at Wembley.
“I have some great memories from my own career of being involved with the Challenge Cup and it’s great that this historic competition means so much to modern day players.
“Every player wants to play at Wembley and everybody in Hull wants to see Hull FC and Rovers do battle in the final on August 29.”
Phil Lowe said: “It’s hard to think that 35 years have elapsed since that famous Wembley final between Rugby League’s biggest rivals and after all these years fans are still talking about that day.
“That’s why the Challenge Cup is so special just as it was when I played.”
The Ladbrokes Challenge Cup fifth round draw in full is as follows:
Bradford Bulls v Hull Kingston Rovers
Wakefield Trinity Wildcats v Halifax
The winners of the fifth round fixtures will progress to the sixth round when the remaining eight Super League clubs will enter the competition. All fifth round games will be played over the weekend of April 17 – 19.