#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int q;
  cin >> q;
  while (q--) {
    ll n;
    cin >> n;
    int ans = 1;
    for (int k = 2; k <= 5; k++) {
      auto pk = [&](ll v) {
        ll res = 1;
        rep(_, k) res *= v;
        return res;
      };
      ll l = 1, r = 2;
      while (pk(r) <= n) l = r, r <<= 1;
      while (r - l > 1) {
        ll c = (l + r) / 2;
        (pk(c) <= n ? l : r) = c;
      }
      if (pk(l) == n) ans = k;
    }
    int g = 0;
    for (int p = 2; p <= 100; p++) {
      int e = 0;
      while (n % p == 0) e++, n /= p;
      g = gcd(g, e);
    }
    if (n == 1) ans = g;
    cout << ans << '\n';
  }
}