Both are different notions, and have different kinds, If you read these kinds in details, You would be able to understand the d/f between two:

Kinds of Divorces;

Khula
Mubara'at
Ila
Zihar
Lian
Apostasy

Kinds of Talaq;

Talak-i-Bida
Talak-i-Ahsan
Talak-i-Hassan

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كُلُّ نَفْسٍ ذَآئِقَةُ الْمَوْتِ - Every Soul Must Have The Taste Of Death