#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 2000000000000000001



int main(){
	
	int N,K;
	cin>>N>>K;
	vector<long long> a(N);
	rep(i,N)cin>>a[i];
	vector<long long> y;
	rep(i,N){
		for(long long j=1;j*j<=a[i];j++){
			if(a[i]%j==0){
				y.push_back(j);
				y.push_back(a[i]/j);
			}
		}
	}
	sort(y.begin(),y.end());
	y.erase(unique(y.begin(),y.end()),y.end());
	long long ans = 1;
	rep(i,y.size()){
		long long sum = 0;
		rep(j,N){
			sum += min(a[j]%y[i],y[i] - (a[j]%y[i]));
		}
		if(sum<=K)ans = y[i];
	}
	cout<<ans<<endl;
	
	return 0;
}