One of the differences you will notice between Brinell and Rockwell Hardness is that both use different indenters. For instance, the penetrator used in Brinells method is a calcareous ball. It can also use hard metal, especially for hard materials. On the other hand, there are different penetrators you can use if you are using Rockwell's method.
For instance, Rockwell's method uses a small steel ball for soft materials, while it uses a diamond cone for hard materials. The duration of the two methods is another differentiating feature. The Rockwell method is faster compared to the Brinell method.
For instance, it usually takes less than 15 seconds if you are using the Rockwell method, while the Brenill method can take up to 60 seconds. Rockwell Hardness is a better method for soft, medium, and hard materials. On the contrary, Brinell Hardness is suitable for soft and medium materials. However, it is easier to measure in Brenill's method compared to Rockwell's method.