What are some differences and similarities between lutheranism and catholicism?

Both religions are very much the same. One of the differences is that Lutherans like most protestants believe that a person is saved not by good works but by God's grace through faith. This is the reasoning behind Luther splitting from the Catholic church because at the time they demanded members to tithe or do hail marys and such to be forgiven of their sins. Lutherans also have the Apostles Creed and Luther's Catechism. But the religions are quite similar like most christian denominations.