#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using u64 = unsigned long long;
#define REP(i, n) for (int i = 0; i < (i64)(n); ++i)
#define WHOLE(x) std::begin(x), std::end(x)
#define LEN(a) int((a).size())

template <class T>
bool chmax(T &a, T b) {
  if (a < b) return (a = move(b)), true;
  return false;
}
template <class T>
bool chmin(T &a, T b) {
  if (a > b) return (a = move(b)), true;
  return false;
}

template <typename T>
using V = std::vector<T>;
template <typename T>
vector<T> make_vec(size_t n, T a) {
  return vector<T>(n, a);
}
template <typename... Ts>
auto make_vec(size_t n, Ts... ts) {
  return vector<decltype(make_vec(ts...))>(n, make_vec(ts...));
}
template <typename T>
istream &operator>>(istream &is, vector<T> &a) {
  for (auto &x : a) is >> x;
  return is;
}
template <typename Container>
ostream &pprint(const Container &a, string_view sep = " ",
                string_view ends = "\n", ostream *os = nullptr) {
  if (os == nullptr) os = &cout;
  auto b = std::begin(a), e = std::end(a);
  for (auto it = std::begin(a); it != e; ++it) {
    if (it != b) *os << sep;
    *os << *it;
  }
  return *os << ends;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &a) {
  return pprint(a, ", ", "", &(os << "[")) << "]";
}
template <typename T>
ostream &operator<<(ostream &os, const set<T> &a) {
  return pprint(a, ", ", "", &(os << "{")) << "}";
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const map<T, U> &a) {
  return pprint(a, ", ", "", &(os << "{")) << "}";
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &a) {
  return os << "(" << a.first << ", " << a.second << ")";
}

#ifdef ENABLE_DEBUG
template <typename T>
void debug(T value) {
  cerr << value;
}
template <typename T, typename... Ts>
void debug(T value, Ts... args) {
  cerr << value << ", ";
  debug(args...);
}
#define DEBUG(...)                              \
  do {                                          \
    cerr << " \033[33m (L" << __LINE__ << ") "; \
    cerr << #__VA_ARGS__ << ":\033[0m ";        \
    debug(__VA_ARGS__);                         \
    cerr << endl;                               \
  } while (0)
#else
#define debug(...)
#define DEBUG(...)
#endif

template <class T>
using MinHeap = priority_queue<T, vector<T>, greater<T>>;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  int N, K;
  cin >> N >> K;
  V<int> A(N);
  i64 asum = 0;
  REP(i, N) {
    cin >> A[i];
    asum += A[i];
  }

  i64 ans = 1;

  auto check = [&](i64 k) -> void {
    if (k <= ans) return;

    V<i64> v(N);
    REP(i, N) { v[i] = A[i] % k; }
    sort(WHOLE(v));
    V<i64> lcum(N + 1);
    REP(i, N) { lcum[i + 1] = lcum[i] + v[i]; }
    if (lcum[N] > 0) {
      i64 rcum = 0;
      for (int i = N - 1; i >= 0; --i) {
        rcum += v[i] == 0 ? 0 : k - v[i];
        if (rcum > K) return;
        if (rcum > lcum[i]) return;
        if (rcum == lcum[i]) {
          break;  // ok
        }
      }
    }
    ans = k;
  };

  for (i64 k = 1; k * k <= asum; ++k) {
    if (asum % k == 0) {
      i64 r = asum / k;
      check(r);
      if (k != r) check(k);
    }
  }

  cout << ans << endl;
}


Measured memory_bytes: 3616