The Bantams were unable to overcome Salford City in the two sides' first-ever meeting, after being held to a 1-1 draw.
Despite taking the lead early in the second half, the hosts at the Utilita Energy Stadium succumbed to a late equaliser at the hands of their Lancashire visitors.
City began the affair well in control and - after a strong start - rattled the post through Callum Cooke’s long-range drive, a quarter of an hour in.
Gary Bowyer's side came out following the interval in a similar vein, drawing first blood eight minutes sfter the restart.
Kelvin Mellor produced neat work out wide before setting Dylan Connolly up who squared for Pritchard to slam home.
The visitors went close to drawing level on 69 minutes when substitute Joey Jones clipped the top of the crossbar with a drive from distance.
And - 10 minutes later - Graham Alexander's men did breach the home defence.
After good play from Brandon Asante on the left-hand side, the ball was squared to substitute Adam Rooney who made no mistake in finishing past Richard O'Donnell.
Despite pushing for a late winner, Bowyer's men were unable to take all three points, and remain fifth in Sky Bet League Two.
CITY: Richard O'Donnell; Kelvin Mellor, Anthony O'Connor, Paudie O'Connor, Ben Richards-Everton; Harry Pritchard, Callum Cooke, Jake Reeves (c), Connor Wood; Aramide Oteh, Dylan Connolly (Shay McCartan 77'). Subs (not used): George Sykes-Kenworthy (GK), Tyler French, Matt Palmer, Chris Taylor, Jermaine Anderson, Zeli Ismail.
GOALS: Pritchard (53').
SALFORD: Chris Neal; Oscar Threlkeld, Liam Hogan (c), Cameron Burgess, Ibou Touray; Jake Jervis, Richie Towell, Lois Maynard (Joey Jones 61'), Craig Conway; Brandon Asante, Luke Armstrong (Adam Rooney 46'). Subs (not used): Kyle Letheren (GK), Carl Piergianni, Daniel Whitehead, Danny Lloyd.
GOALS: Rooney (79').
ATTENDANCE: 14,612 (418 visitors).
REFEREE: Carl Boyeson (East Yorkshire).