With 90 points, PSG are on course to break their own Ligue 1 points record of 96 set two years ago under Laurent Blanc.
Las Palmas had their relegation from La Liga confirmed following a crushing 4-0 defeat at home to Alaves.
The champions have a difficult run-in to the season which includes matches against Inter Milan and Roma -- both fighting for Champions League places.
Several players shed tears after the final whistle as Cologne remain eight points from safety with only a mathematical chance of surviving.
Roma and Lazio both have 67 points from 34 games with Roma, in third place, ahead on head-to-head clashes.
The only negative aspect of the occasion for the newly-crowned Premier League champions was a post-match pitch invasion by several hundred City supporters.
QNB Stars League champions hammer Al Gharafa 6-1 to book a final meeting with Al Sadd
Former Arsenal star Giroud produced a tremendous piece of skill to break the deadlock early in the second half.
The Gunners are in danger of finishing lower than ever under Wenger in the Premier League as they remain in sixth, six points adrift of Chelsea.
The German champions host Real at Munich's Allianz Arena in Wednesday's blockbuster semifinal, first leg, in a repeat of last year's quarterfinal.
For Spurs it was an eighth straight FA Cup semifinal loss and it ended their chance of winning their first piece of silverware since 2008.
There was no sign of age catching up with the Spaniard at the Wanda Metropolitano where Iniesta capped a sublime performance by scoring Barca's fourth goal.
A victory over Deportivo La Coruna on next Sunday will confirm Ernesto Valverde's side as La Liga champions.
Champions Paris Saint-Germain visit mid-table Bordeaux on Sunday.
Jadon Sancho and Marco Reus inspired Borussia Dortmund to a 4-0 romp at home to Bayer Leverkusen.