enzyme

[kabuto]

short question here
is all enzyme protein?

[wbla3335]

short answer,
no

.. a bit more,
"Ribozymes" are RNA molecules that have enzymatic activity. How common these are "in the wild", I don't know. Most (all?) "coenzymes" are nonprotein cofactors that are necessary for the enzymatic activity of the proteinaceous enzymes that need them.

[MrMistery]

coenzymes are a special type of cofactor:
they are cofactors that are small organic molecules. other cofactors are inorganic ions. Like dna polymerase needs Zn.

Ribozymes are not very common in the natural world, but they are important because it is believed that molecules similar to them were the first molecules to self-replicate in the evolution of life.