#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } // 素因数分解 vector> PrimeFactorization(long long n) { vector> ret; for (long long i = 2; i*i <= n; i++) { int c = 0; while (n%i == 0) { // 素数で割り切れなくなるまで割っていく c++;//割った個数を配列に足す n /= i; } if (0 != c) ret.push_back({ i,c }); if (1 == n) break; } if (1 != n) ret.push_back({ n,1 }); return ret; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, k; cin >> n >> k; auto v = PrimeFactorization(n); vectorcnt(n + 1); rep(i, v.size())cnt[v[i].first] = v[i].second; P ans = { 0,0 }; rep2(i, 1, n) { auto v = PrimeFactorization(i); int x = 0; int y = 1; rep(j, v.size()) { x += min(cnt[v[j].first], v[j].second); y *= v[j].second + 1; } if (x < k) continue; if (chmax(ans.second, y)) ans.first = i; } cout << ans.first << endl; return 0; }