ViewController.swift

import UIKit

class ViewController: UIViewController {

    let viewOne = UIView()
    let viewTwo = UIView()
    let intermediaryView = UIView()
    let viewSuper = UIView()
    
    override func viewDidLoad() {
        super.viewDidLoad()
        viewOne.tag = 22
        viewTwo.tag = 23
        viewSuper.tag = 10
        view.tag = 12
        intermediaryView.addSubview(viewOne)
        intermediaryView.tag = 8
        view.addSubview(viewTwo)
        view.addSubview(intermediaryView)
        let traverser = ViewTraverser()
        let nameView = traverser.commonSuper(viewOne: viewOne, viewTwo: viewTwo)
        dump(nameView)
    }
}

ViewTraverser.swift

class ViewTraverser {
    
    func commonSuper(viewOne: UIView, viewTwo: UIView) -> UIView? {
        var inputTwo: UIView? = viewTwo
        let superViews: [Int: UIView] = traverseSuperViews(view: viewOne)
        while inputTwo != nil {
            if checkForSuper(view: inputTwo, views: superViews) != nil {
                return inputTwo
            } else {
                inputTwo = inputTwo?.superview
            }
        }
        return nil
    }
    
    func traverseSuperViews(view: UIView) -> [Int : UIView] {
        var views: [Int: UIView] = [:]
        var inputView: UIView? = view
        while inputView != nil {
            guard let tag = inputView?.tag, let view = inputView else { continue }
            views[tag] = view
            inputView = view.superview
        }
        return views
    }
    
    func checkForSuper(view: UIView?, views: [Int: UIView]) -> UIView? {
        guard let view = view else { return nil }
        if views[view.tag] != nil {
            return view
        }
        return nil
    }
}