#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
#define rep(i, n) for (long long i = 0; i < (long long)(n); i++)
#define REP(i, n) for (long long i = 1; i < (long long)(n); i++)
typedef long long ll;
using mint = modint998244353;

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