#include <bits/stdc++.h>
#include <cassert>
typedef long long int ll;
using namespace std;

// @@ !! LIM(sieve debug)
// --> sieve f:<< debug
// ---- inserted library file sieve.cc

// sieve(upto) returns the list of prime numbers up to upto.
//   Size: upto(1e8).size() ... 5.7e6,  upto(1e9).size() ... 5.1e7
//   Performance: upto(1e8) ... 0.7sec,   upto(1e9) ... 9.2sec
vector<int> sieve(int upto) {
  vector<int> res;
  vector<bool> tbl(upto+1);
  ll lim = (int)(sqrt((double)upto)) + 1;
  for (int x = 2; x <= upto; x++) {
    if (tbl.at(x))  continue;
    res.push_back(x);
    if (x > lim)  continue;
    for (int y = x * 2; y <= upto; y += x) tbl.at(y) = true;
  }
  return res;
}

/*
  Prime Factorization
    Two versions:
      - prfac(n)
      - prfac(n, primes)
 */

vector<pair<ll, int>> prfac(ll n, const vector<int>& primes) {
  //      primes should contain prime numbers at least up to sqrt(n)
  vector<pair<ll, int>> res;
  ll x = n;
  for (ll p : primes) {
    if (x == 1)  break;
    if (p * p > x)  break;
    if (x % p != 0)  continue;
    int c = 1;
    x /= p;
    while (x % p == 0) {
      c += 1;
      x /= p;
    }
    res.push_back(make_pair(p, c));
  }
  if (x != 1)  res.push_back(make_pair(x, 1));
  return res;
}

vector<pair<ll, int>> prfac(ll n) {
  return prfac(n, sieve((int)(sqrt((double)n)) + 1));
}

/*
    List of divisors
      - getDivisors(n)
    Note: the results are NOT sorted
 */

// gdsub ... aux function used in getDivisors()
vector<ll> gdsub(int i, int n, auto fs) {
  if (i == n) { return vector<ll>({1}); }
  auto part = gdsub(i+1, n, fs);
  ll p  = fs.at(i).first;
  int r = fs.at(i).second;
  ll pp = p;    // pp = p^m, for m \in [1, r]
  int partOrigLen = part.size();
  for (int m = 1; m <= r; m++) {
    for (int j = 0; j < partOrigLen; j++) {
      part.push_back(pp * part.at(j));
    }
    pp *= p;
  }
  return part;
}

vector<ll> getDivisors(ll n) {
  auto fs = prfac(n);
  return gdsub(0, fs.size(), fs);
}

// ---- end sieve.cc
// ---- inserted function << from util.cc
template <typename T1, typename T2>
ostream& operator<< (ostream& os, const pair<T1,T2>& p) {
  os << "(" << p.first << ", " << p.second << ")";
  return os;
}

template <typename T1, typename T2, typename T3>
ostream& operator<< (ostream& os, const tuple<T1,T2,T3>& t) {
  os << "(" << get<0>(t) << ", " << get<1>(t)
     << ", " << get<2>(t) << ")";
  return os;
}

template <typename T1, typename T2, typename T3, typename T4>
ostream& operator<< (ostream& os, const tuple<T1,T2,T3,T4>& t) {
  os << "(" << get<0>(t) << ", " << get<1>(t)
     << ", " << get<2>(t) << ", " << get<3>(t) << ")";
  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const vector<T>& v) {
  os << '[';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << ']';

  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const set<T>& v) {
  os << '{';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << '}';

  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const multiset<T>& v) {
  os << '{';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << '}';

  return os;
}

template <typename T1, typename T2>
ostream& operator<< (ostream& os, const map<T1, T2>& mp) {
  os << '[';
  for (auto it = mp.begin(); it != mp.end(); it++) {
    if (it != mp.begin()) os << ", ";
    os << it->first << ": " << it->second;
  }
  os << ']';

  return os;
}

template <typename T, typename T2, typename T3>
ostream& operator<< (ostream& os, const priority_queue<T, T2, T3>& orig) {
  priority_queue<T, T2, T3> pq(orig);
  bool first = true;
  os << '[';
  while (!pq.empty()) {
    T x = pq.top(); pq.pop();
    if (!first) os << ", ";
    os << x;
    first = false;
  }
  return os << ']';
}
// ---- end <<
// ---- inserted library file debug.cc
template <class... Args>
string dbgFormat(const char* fmt, Args... args) {
  size_t len = snprintf(nullptr, 0, fmt, args...);
  char buf[len + 1];
  snprintf(buf, len + 1, fmt, args...);
  return string(buf);
}

template <class Head>
void dbgLog(Head&& head) {
  cerr << head << endl;
}

template <class Head, class... Tail>
void dbgLog(Head&& head, Tail&&... tail)
{
  cerr << head << " ";
  dbgLog(forward<Tail>(tail)...);
}

#if DEBUG
  #define DLOG(...)        dbgLog(__VA_ARGS__)
  #define DFMT(...)        cerr << dbgFormat(__VA_ARGS__) << endl
  #define DCALL(func, ...) func(__VA_ARGS__)
#else
  #define DLOG(...)
  #define DFMT(...)
  #define DCALL(func, ...)
#endif

// ---- end debug.cc
// @@ !! LIM  -- end mark --

int main(int argc, char *argv[]) {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << setprecision(20);

  ll N, K; cin >> N >> K;
  vector<ll> A;
  ll sum = 0;
  for (ll i = 0; i < N; i++) {
    ll a; cin >> a;
    A.push_back(a);
    sum += a;
  }
  auto ds = getDivisors(sum);
  sort(ds.begin(), ds.end(), greater<ll>());
  for (ll div : ds) {
    auto possible = [&]() -> bool {
      if (div == 1) return true;
      DLOG("div", div);
      vector<ll> x;
      for (ll i = 0; i < N; i++) x.push_back(A.at(i) % div);
      sort(x.begin(), x.end());
      DLOG("x", x);
      ll iL = 0;
      ll iR = N-1;
      ll cntL = 0;
      ll cntR = 0;
      while (true) {
	if (iL > iR) {
	  assert (cntL == cntR && cntL <= K);
	  return true;
	}
	while (iL <= iR && cntL <= cntR) cntL += x.at(iL++);
	while (iL <= iR && cntL >= cntR)  cntR += div - x.at(iR--);
	DLOG("iL", iL, "iR", iR, "cntL", cntL, "cntR", cntR);
	if (cntR > K) return false;
      }
    };
    if (possible()) {
      cout << div << endl;
      return 0;
    }
  }
  assert(0);
  return 0;
}



Measured memory_bytes: 256