In a series of papers, Kani studies elliptic subcovers of genus 2 curves. This talk will focus on summarizing this work and it's applications to a recent question of Galbraith concerning isogeny graphs of abelian surfaces. Let A be a Jacobian of a curve of genus 2 which is isogeneous, but not isomorphic, to a product of elliptic curves. Galbraith's question is how "far" is A from a product of ellitpic curves in the $\ell$-isogeny graph for a small prime $\ell$.