Game consoles have long used specialized and customized computer hardware with the base in some standardized processor instruction set architecture.
In this case, it is PowerPC and Power ISA, processor architectures initially developed in the early 1990s by the AIM alliance, i.e. Apple, IBM, and Motorola.
Even though these consoles share much in regard to instruction set architecture, game consoles are still highly specialized computers so it is not common for games to be readily portable or compatible between devices.
The first devices used standard processors, but later consoles used bespoke processors with special features, primarily developed by or in cooperation with IBM for the explicit purpose of being in a game console.
The Wii Mini, the last PowerPC-based game console to remain in production, was discontinued in 2017.