Continuity mistake: In the scene where Aron finds the family who help him, there is a shot of a shadow of Aron with his arm raised in the air. The arm raised is on his left side. For this to be correct, the shadow would have to be cast in front of Aron. However, in the very next shot, Aron's face is lit by the sun, so any shadow would have to be cast behind him. This is contradictory.
Factual error: The film takes place in April of 2003 and a flashback shows Aron Ralston attending a Utah Jazz game. However the theme of the basketball court was not used by the Jazz until the start of the 2004-05 NBA season. Additionally the name of the arena displayed on the court is Energy Solutions Arena whereas the building was called the Delta Center until November 2006.
Factual error: While Aron is copying a page from the Utah Canyon-lands guidebook, a location labeled "Aron Ralston's chockstone" can be seen, despite the fact that the film takes place during the incident. This is because the actual Utah Canyons guidebook was used during filming, which had been updated to include said location. (00:39:15)
Deliberate mistake: During some shots seen from the camera when Aron is filming his diary the camera performs some subtle movements to keep him in frame. These movements are from a tripod as they're too subtle and controlled to be from someone operating the camera with one arm and moving around as much as James Franco was.