Shared ground
Jesus speaks broadly to “the one who believes in me,” not just the original disciples. He promises continuity: believers will do the kinds of works he has been doing. He also promises expansion: “greater works,” grounded in a new situation created by his going “to the Father.”
Jesus then ties this future work to prayer. Twice he promises to act on requests made “in my name.” The stated goal is not simply the requester’s benefit but that “the Father may be glorified in the Son.” The passage presents Jesus as the one who answers (“I will do it”) and as the one through whom the Father receives honor.
Where interpretation differs
What “greater works” means. Some understand “greater” mainly as broader reach and impact after Jesus’ departure (more people, more places, the message spreading). Others think it can include works that appear more striking than Jesus’ earlier signs, because Jesus is now “with the Father” and works through his followers.
What “in my name” requires. Some take it primarily as praying with Jesus’ authority and aims (requests consistent with who he is and what honors the Father). Others think it also includes explicit verbal use of Jesus’ name, while still assuming the deeper idea of representation and alignment.
How “anything” is limited. Some read “anything” as sweeping but not unlimited, because the purpose clause (“that the Father may be glorified in the Son”) sets a built-in boundary. Others read “anything” more openly in these verses themselves, with limits supplied by nearby teachings in John (for example, abiding and bearing fruit) rather than by v.13 alone.
Why the disagreement exists
The wording is very broad (“whatever… anything”), while the passage also gives a purpose (“that the Father may be glorified”). “Greater works” is also not defined here, so readers infer meaning from (1) the immediate context of Jesus’ departure and promised help, and (2) the wider story of John’s Gospel and the early spread of Jesus’ work beyond his physical presence.
What this passage clearly contributes
Explicitly, the text claims that believers will continue Jesus’ works and do “greater” works because of his going to the Father; that Jesus will do what is asked in his name; and that the aim is the Father’s glory through the Son. By inference, the passage links mission and prayer: the ongoing extension of Jesus’ work is depicted as dependent on Jesus’ continued action from the Father’s side and as directed toward honoring God, not merely satisfying requests. See also John 14:15 for the immediate continuation into love and obedience.