So, there are a lot of questions about dragon slaying, so now let's cover gryphon slaying.
Both dragons and gryphons are Air-type creatures in the Creaturemon Index (basically my encyclopedia for fantasy creatures) and are usually hunted for the same reason: petty theft of food items (the largest item has so far been a single sheep) and (accidental) property damage.
Gryphons are hexapodal creatures, posessing two wings and four legs. The general body-plan resembles that of a cheetah and measures 135 cm at the shoulders. Their heads, however, bear resemblance to various eagle and a few corvid species. Soft, fur-like plumage covers their head, neck, the upper parts of the forelegs, as well as the chest area. The lower parts of the forelegs are covered in yellowish scales. All four legs terminate in large claws, similar to that of a harpy eagle.
Gryphons are supreme soarers with limited capacity for powered flight. They can't take off frequently, so they usually save it for emergency.
Much like dragons, gryphons employ hit n' run and kiting tactics, along with attrition (i.e: circling around the hunting party and watching their suffer from a safe height) The main difference is that while gryphons are smaller and more vulnerable than dragons, they are also more numerous, more agile, more active and proactive, compared to their scaled competitors.
In layman's terms, instead of fighting Geralt of Rivia on the ground, the (usually five) members of a gryphon pack/family take turns showering him with small rocks, tree branches and unnaturally large bird droppings while also leading him into the den of a tax collector.
Just like dragons, gryphons posses human levels of intelligence and are able to communicate with one another through squawks and caws.
They also regularly use this site.
Gryphons are considered pests and are hunted for that reason. However, I can't figure out, how could such creatures be effectively hunted by medieval people?
As I said, gryphons are intelligent and existed long before humans, so they're able to relocate their nests, eggs and young, should the need arise. Stolen goods are only a fraction (in mass) of what a gryphon eats, so they can go without raiding for quite a while.