This is the 1523rd most frequent Turkish word.
gök
Sky.
Here, 'göğe' is the dative case of 'gök,' meaning 'to the sky,' pointing towards a direction.
Yükseklerden uçan kuşları görünce gözüm göğe daldı.
When I saw the birds flying high, my eyes gazed into the sky.
In this case, 'gökmavi' is a compound word meaning 'sky blue,' utilizing 'gök' to describe the shade of blue.
Oğlumun hayalindeki renk gökmavi.
The color of my son's dream is sky blue.
Here, 'gökyüzü' refers to the physical sky, which includes the word 'gök' to signify 'sky'.