#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 n, k;
  cin >> n >> k;
  VL a(n);
  VL divs;
  rep(i, n) {
    cin >> a[i];
    ll d = 1;
    for(; d * d < a[i]; d++) {
      if (a[i] % d == 0) {
        divs.emplace_back(d);
        divs.emplace_back(a[i] / d);
      }
    }
    if (d * d == a[i]) divs.emplace_back(d);
  }
  ranges::sort(divs, greater{});
  divs.erase(unique(all(divs)), divs.end());
  for (ll d : divs) {
    ll cnt = 0;
    for (ll x : a) cnt += min(x - x / d * d, (x + d - 1) / d * d - x);
    if (cnt <= k) {
      cout << d << '\n';
      break;
    }
  }
}