The React Context API is a way for a React app to effectively produce global variables that can be passed around. This is the alternative to "prop drilling" or moving props from grandparent to child to parent, and so on. Context is also touted as an easier, lighter approach to state management using Redux.
React Router is a JavaScript library used to handle client and server-side routing in React applications. It allows the creation of single-page web or mobile apps that allows navigation without the page refreshing. React Router also gives us access to browser history features while maintaining the correct view of the application. React Router uses a component-based approach to routing. It provides different routing components as needed by the application.