Strachan joked that Greer's performance belied his physical appearance, while also praising the level of consistency and solidity provided by Whittaker.
"Gordon Greer was fantastic. He looks nothing like a footballer. He looks like a rock star who has turned up at a testimonial game, but he was absolutely fantastic," Strachan told reporters.
"Steven Whittaker - you just put him in and know what you're going to get. If you picked 10 Steven Whittakers, sleep would be easier the night before a game."
The result means that Scotland now have four points in Group D, leaving them three behind joint leaders Poland and the Republic of Ireland.