Factual error: The President and Agent Miles commandeer a small plane at an Astovian airfield to fly to Ramstein U.S. Air Force Base. Miles identifies the craft as Air Force One, as the President is on board. However, "Air Force One" is the designation only for Air Force planes that fly the President (similar to how "Marine One" is called that because it is a Marine helicopter). Non-military planes, such as the one they are flying, typically carry the call sign "Executive One" when the President is on board.
Factual error: Before departing, there are some shots from the flight deck. Air Force One is a heavily modified Boeing 747, but the flight deck shots are of an Airbus.
Factual error: The pilot of Air Force One, a Colonel, gets home. His shoulder insignias are turned ninety degrees from how they should be. In the next shot, it is corrected. Also, the "U.S." collar letters are at the wrong angle.
Factual error: A 747 allegedly Air Force One is shown taking off. But it is painted white, not the shades of blue as the real Air Force One is painted.
Factual error: Secret Service Agent Miles salutes the President inside of Air Force One and has the other hand on her hip. Secret Service agents do not salute. They are not military.
