Spain took the lead early when left-back Jose Gaya's shot was controlled via a Georgian and even before the break Carlos Soler and Ferran Torres had put them in a 3-0 lead.
In the second half, national team captain Luis Enrique made a healthy change when he even took out goalkeeper Unai Simon and replaced him with Brighton goalkeeper Robert Sanchez.
In the second half, Pablo Sarabia managed to make it 4-0 for his Spain.
In the second match in Sweden's group, it was a draw.
Draw in Kosovo
Greece's Anastasios Douvikas made it 1-0 away against Kosovo at the end of the first half and it looked like a victory, but in extra time Vedat Muriqi equalized for the home team.
The results mean that Spain leads the group by 10 points after five games played.
Sweden is only one point behind, despite two games fewer played.
Kosovo is third in the group with four points in four matches.
Greece have taken three points in three matches.
MORE FOOTBALL: Sweden won against Uzbekistan
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Isaac Kiese Thelin celebrates his goal.
Photo: Bildbyrån