What are the key differences in their origin stories and how do these shape their relationship in the comics?

Batman's origin is rooted in tragedy and the loss of his parents, leading to a life dedicated to vengeance and justice through skill and intellect. Superman's origin is one of alien immigration, raised with strong moral guidance and gifted with incredible powers. These differences make Batman often the grounded, pragmatic one, while Superman is the aspirational, hopeful one, influencing their trust and respect for each other.