Use the adverb intrinsically to describe things that are a vital, important, or natural part of something. For example, great teachers are intrinsically associated with a great school.
Something that is intrinsic is an essential part of a whole, so intrinsically describes something closely connected to or inseparable from something. For example, if you believe people are intrinsically good, you think goodness is a part of being human. The Latin root is intrinsecus, which means "inwardly, on the inside."