#include using namespace std; #define int long long #define rep(i, a, b) for (int i = (int)(a); i < (int)(b); ++i) template bool chmax(T &a, const T& b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T& b) { if (a > b) { a = b; return true; } return false; } map factorize(int a) { map ret; for(int i = 2; i * i <= a; i++) { int cnt = 0; while (a % i == 0) a /= i, cnt++; if (cnt != 0) ret[i] = cnt; } if (a != 1) ret[a] = 1; return ret; } signed main() { int N, K; cin >> N >> K; int ans = 0; int cnt = 0; auto F = factorize(N); rep(i, 1, N) { auto f = factorize(i); int tmp = 1; int tmp2 = 0; for (auto p : f) { tmp *= p.second + 1; tmp2 += min(F[p.first], p.second); } if (tmp2 < K) continue; if (chmax(cnt, tmp)) { ans = i; } } cout << ans << endl; }