#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
#define rep(i, n) for(int i=0;i<(n);++i)
#define rep1(i, n) for(int i=1;i<=(n);i++)
#define ll long long
using mint = modint998244353;
using P = pair<ll,ll>;
using lb = long double;
using T = tuple<ll, ll, ll>;
#ifdef LOCAL
#  include <debug_print.hpp>
#  define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define dbg(...) (static_cast<void>(0))
#endif

int main()
{
    int n, k;
    cin >> n >> k;
    vector<ll> a(n);
    rep(i,n) cin >> a[i];
    set<ll> st;
    rep(i,n){
        for(ll j=1;j*j<=1e12;j++){
            if(a[i]%j==0) {
                st.insert(j);
                st.insert(a[i]/j);
            }
        }
    }
    ll ans = 1;
    for(auto s : st){
        ll cnt = 0;
        rep(i,n){
            ll v = a[i]%s;
            cnt += min(v, (s-v));
        }
        if(cnt<=k) ans = max(ans, s);
    }
    cout << ans << endl;
    return 0;
}