The NZXT F360 RGB Core is likely compatible with the NZXT RGB & Fan Controller AC-CRFR0-B1, as both are NZXT products designed for similar purposes. However, compatibility can depend on the generation and specific model of the controller and fan. It's recommended to ensure they are from the same generation for optimal compatibility.

For proper connection, the RGB cable from the fan should be connected to the controller, and the fan's power cable should be connected to a motherboard fan header or a separate fan controller.