Take note that one of the similarities is that they are both involved in knowing how products and services should be priced. Capitalism is more focused on trying to make the most out of those products and services so that business owners can actually gain something from what they are offering. There are different factors that are involved in the process.
The free market will be more focused on exchanging different wealth, goods, and also services so that people will be able to get what they are searching for. Usually, in capitalism, government intervention is not usually expected. In the free market, the items that are being offered will always depend on supply and demand.