Why cats like to lick their own fur:
1. Cats lick their fur to keep themselves cleaner. By licking their fur, cats can remove loose fur, making their fur softer. At the same time, they can remove some of the dust and dirt stuck to their fur, keeping their bodies clean and tidy.
2. In summer, cats can cool down by licking their fur. During this process, the cat's fur becomes coated with saliva. As the saliva evaporates, it naturally carries away some heat.
3. Stress Relief. For cats, grooming is a common way to relieve stress. Cats can relieve stress and alleviate their tension by grooming themselves. 
4. Absorbing Vitamin D. A cat's fur secretes substances such as cholesterol, which convert into Vitamin D when exposed to sunlight. While grooming, cats ingest this generated Vitamin D.
Important notes about cats grooming themselves:
1. When a cat has a wound, it will instinctively try to relieve the pain by licking it. However, this will accelerate the deterioration of the wound. In particular, after surgery, cats should wear an Elizabethan collar to prevent them from licking.
2. If a cat keeps licking a certain part of its body, even to the point of bald patches, there is definitely a problem. In most cases, it is caused by extreme anxiety and needs to be addressed promptly.
3. Cats can easily ingest cat hair while grooming, which can accumulate in the digestive tract and form hairballs, potentially causing digestive blockage.