This is the 7433rd most frequent Russian word.
гродненского
"Гродненского" means "of Grodno" or "related to Grodno" (a city in Belarus).
In this sentence, the word 'гродненского' is in its masculine genitive singular form to agree with the noun 'региона', indicating possession or relation.
Я читал статью о развитии экономики Гродненского региона.
I read an article about the economic development of the Grodno region.
Here, 'гродненского' is used in the masculine genitive singular form to denote that the factory (завода) belongs to or is associated with Grodno.
Продукция Гродненского завода пользуется высоким спросом.
The products of the Grodno factory are in high demand.
In this example, 'гродненского' is in the masculine genitive singular form, modifying 'университета' to specify its connection to Grodno.