#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<queue>
#include<string>
#include<cstring>
#include<algorithm>
#include<set>
#include<map>

#define rep(i,n) for(int i=0;i<(n);i++)
#define EPS (1e-7)
#define INF (2e9)

using namespace std;
typedef long long int ll;
typedef pair<int,int> PI;
typedef pair<ll,ll> PL;
typedef priority_queue<int> PQI;
typedef priority_queue<int,vector<int>,greater<int> > PQSI;
typedef priority_queue<ll> PQL;
typedef priority_queue<ll,vector<ll>,greater<ll> > PQSL;

const int MOD = 1000000007;
struct mint { int n; mint(int n_ = 0) : n(n_) {} };
mint operator-(mint a) { return -a.n + MOD * (a.n != 0); }
mint operator+(mint a, mint b) { int x = a.n + b.n; return x - (x >= MOD) * MOD; }
mint operator-(mint a, mint b) { int x = a.n - b.n; return x + (x < 0) * MOD; }
mint operator*(mint a, mint b) { return (long long)a.n * b.n % MOD; }
mint &operator+=(mint &a, mint b) { return a = a + b; }
mint &operator-=(mint &a, mint b) { return a = a - b; }
mint &operator*=(mint &a, mint b) { return a = a * b; }
istream &operator>>(istream &i, mint &a) { return i >> a.n; }
ostream &operator<<(ostream &o, mint a) { return o << a.n; }

vector<mint> F_{1, 1}, R_{1, 1}, I_{0, 1};
void check_fact(int n) {
  for (int i = I_.size(); i <= n; i++) {
    I_.push_back(I_[MOD % i] * (MOD - MOD / i));
    F_.push_back(F_[i - 1] * i);
    R_.push_back(R_[i - 1] * I_[i]);
  }
}

mint I(int n) { check_fact(abs(n)); return n >= 0 ? I_[n] : -I_[n]; }
mint F(int n) { check_fact(n); return n < 0 ? 0 : F_[n]; }
mint R(int n) { check_fact(n); return n < 0 ? 0 : R_[n]; }
mint C(int n, int r) { return F(n) * R(n - r) * R(r); }
mint P(int n, int r) { return F(n) * R(n - r); }
mint H(int n, int r) { return n == 0 ? (r == 0) : C(n + r - 1, r); }

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<typename T>
vector<T> enum_div(T n){
    vector<T> ret;
    for(T i=1;i*i<=n;i++){
        if(n%i==0){
            ret.push_back(i);
            if(i*i!=n) ret.push_back(n/i);
        }
    }
    //sort(ret.begin(), ret.end());
    return ret;
}
template<typename T>
T gcd(T x, T y){
    if (y == 0) return x;
    else return gcd(y, x % y);
}
template<typename T>
T lcm(T x, T y){
    return (x / gcd(x, y)) * y;
}

int N, K;
int A[500];
int main(void){
    cin >> N >> K;
    rep(i,N) scanf("%d", &A[i]);
    int sum = 0;
    rep(i,N) sum += A[i];
    vector<int> r = enum_div(sum);
    int ans = 0;
    for(auto a:r){
        vector<int> ret;
        rep(i,N) {
            if(A[i] % a != 0)
                ret.push_back(A[i] % a);
        }
        sort(ret.begin(),ret.end());
        bool flag = false;
        if (ret.size() == 0) flag = true;

        for(int i=0;i<int(ret.size())-1;i++){
            int s1=0, s2=0;
            for(int j=0;j<=i;j++) s1 += ret[j];
            for(int j=i+1;j<ret.size();j++) s2 += a - ret[j];
            if(s1 == s2 and s1 <= K){
                flag = true;
                break;
            }
        }
        if(flag) ans = max(ans, a);

    }
    cout << ans << endl;
}



Measured memory_bytes: 256