Is Jesus Really the Son of Joseph?

Why are the geneaologies of Jesus in the Gospel of Matthew and the Gospel of Luke different? If Jesus was not biologically descended from Joseph, does that mean that the claim to be the Messiah is brought into question?

Cale Clarke is the host of both The Cale Clarke Show and The Faith Explained on Relevant Radio. On The Faith Explained, Cale dives deep into Scriptures, the Catechism and Sacred Tradition to bring an in-depth look at what the Catholic Church Believes. On the Cale Clarke Show, Cale unpacks how a Catholic perspective affects the nitty-gritty of everyday life. He also looks at what's happening in the culture through a Catholic Lens.