Final answer:
Compatibility is the factor that affects the spread of innovations by aligning with the individual's and group's values or beliefs, thereby influencing their willingness to adopt new ideas.
Step-by-step explanation:
The factor affecting the spread of innovations that refers to the consistency with the individual's and group's values or beliefs is compatibility. When an innovation aligns with the preexisting values, past experiences, and needs of potential adopters, they are more likely to embrace that innovation. This concept is a key component of Everett Rogers' diffusion of innovations theory, which seeks to explain how, why, and at what rate new ideas and technology spread through cultures.