Egypt coach Hector Cuper says he hopes "everyone in Egypt is happy" that El Hadary beat the record of Colombia keeper Faryd Mondragon, who was 43 years and three days old when he appeared at Brazil 2014.
Salman-al-Faraj restored parity for Saudi Arabia dispatching a penalty in the stoppage time of the first half after Ahmed Hegazi was cautioned for tugging the shirt of Fahad Al-Muwallad.
Egypt's national team failed to collect a single point at the 2018 FIFA World Cup after suffering their third successive defeat at the hands of Saudi Arabia.
In what was a dead-rubber game in Group A after both teams lost their opening two games, Mohamed Salah, who was not initially named in Egypt's starting line-up, gave his side the lead in the 22nd minute, scoring his 50th goal in 58 appearances for club and country since July 2017.
Meanwhile, Uruguay and Russian Federation are the two teams that progressed from Group A after the south American finished top of the table with nine points, as the hosts ended up second with six points.
Abdallah El Said played a long ball over the top and Salah needed just two touches, the second lifting it past Yasser Al-Mosailem.
Supreme Court punts on two cases regarding partisan election districts
They had sued over a lower court's denial of a preliminary injunction against the district boundary drawn by Democrats in 2011. Split-ticket voting often occurs in Wisconsin, undermining the Democrats' underlying argument .
But after a VAR-induced review that took nearly five minutes to complete, Colombian referee Wilmar Roldan chose to stick with his original decision.
With the final kick of the game, Saudi Arabia snatched the winning goal, with Salem firing a low effort past El-Hadary from six-yards out.
The second half was a far more tight affair and looked set to end in stalemate until Al Dawsari drove home with the last kick of the game to leave Egypt pointless and bottom of Group A.
Saudi Arabia had offered nothing in the way of attacking threat, but were given a chance of an unlikely leveller five minutes before the interval when Fathy was adjudged to have deliberately handled Yasir Al Shahrani's cross inside the area.
El-Hadary came to Egypt's rescue on 68 minutes as the shot-stopper showed good reflexes to keep out Hussain's towering header.
24 - Exactly 24 years ago, Saudi Arabia achieved their historic maiden victory in the World Cup.