#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll inf = 1e18;
const int N = 2 * 1e5 + 10;
ll res;
ll a[N];
void solve() {
  ll n, mx = 1;
  cin >> n;
  if ((n + 1) & n) {
    ++n;
    while (n) {
      mx *= 2;
      n /= 2;
    }
    cout << mx - 1 << "\n";
  } else {
    for (ll i = 2; i * i <= n; ++i) {
      if (n % i == 0) {
        cout << n / i << "\n";
        return;
      }
    }
    cout << "1\n";
    return;
  }
}
int main(int argc, char const *argv[]) {
  ios_base::sync_with_stdio(0);
  cin.tie(NULL);
  cout.tie(NULL);
  ll t = 1;
  cin >> t;
  while (t--) {
    solve();
  }
}
