Greenwood was a try scorer in both the first and fourth internationals as he played a starring role at openside despite spending most of his rugby life at No8.
He won a total of 20 caps for Scotland across a seven-year period and would have toured for the Lions a second time had a shoulder injury not ended his career in 1959.
But while Greenwood enjoyed a glittering career as a player, it is his remarkable achievements as a coach for which he will be forever remembered.
The Fife-born former Dunfermline, Perthshire Accies and Harlequins star was a teacher by profession and it was his ability to transfer his incredible rugby knowledge to others that set him apart from almost any before or after him.
Greenwood was a pioneer of the modern game, with his books Total Rugby and Think Rugby two of the sport's unofficial bibles.
Known as 'Mr Rugby' in New Zealand, Greenwood's writings have been used all over the globe when it comes to teaching the game to all levels.
Arguably the most-influential rugby thinker of all time, Greenwood had a profound effect on so many of the world's leading coaches, including the likes of current All Blacks assistant coach Wayne Smith, England's World Cup winning boss Sir Clive Woodward, Scotland head coach Andy Robinson and Lions legend Sir Ian McGecchan.
"It took maybe 20 minutes to recognise that Jim's way of coaching was the most effective I'd come across," said Smith.
"I was an All Black then, and when I became the All Blacks coach I was into his methods, helped by his books."
Those sentiments were echoed by both Woodward, who described Total Rugby as 'the only rugby coaching book I've ever read,' and Robinson, who was taught by Greenwood at Loughborough University and viewed his mentor as a 'great inspiration…who had a fantastic way of simplifying the game'.
McGeechan's praise is perhaps even greater, with the seven-times Lions tourist in no doubt as to the magnitude of Greenwood's achievements.
"Jim Greenwood's thinking was on a different level," McGeechan told scottishrugby.org.
"As a student I read his books and it was clear he was an outstanding rugby thinker. He was way ahead of his time."
After his retirement from Loughborough, Greenwood moved to the village of Crossmichael near Castle Douglas in Dumfriesshire, although he remained in great demand as a rugby consultant throughout the world.
He passed away at Dumfries Royal Infirmary on Sunday.