One useful way of studying algebraic K-theory is to try understanding topological cyclic homology and relate it to the former through cyclotomic trace map For p-complete rings, Bhatt-Clausen-Mathew showed that their topological cyclic homology is equivalent to the algebraic K-theory of the generic fiber of such rings upon taking T(1)-localization. In this talk, we will discuss a filtered version of this equivalence and how it recovers the étale comparison in prismatic cohomology.