#include using namespace std; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) for(int i=(begin);i<(end);i++) #define REP(i, n) FOR(i,0,n) #define IFOR(i, begin, end) for(int i=(end)-1;i>=(begin);i--) #define IREP(i, n) IFOR(i,0,n) #define Sort(v) sort(v.begin(), v.end()) #define Reverse(v) reverse(v.begin(), v.end()) #define all(v) v.begin(),v.end() #define SZ(v) ((int)v.size()) #define Lower_bound(v, x) distance(v.begin(), lower_bound(v.begin(), v.end(), x)) #define Upper_bound(v, x) distance(v.begin(), upper_bound(v.begin(), v.end(), x)) #define Max(a, b) a = max(a, b) #define Min(a, b) a = min(a, b) #define bit(n) (1LL<<(n)) #define bit_exist(x, n) ((x >> n) & 1) #define Ans(f, y, n) if(f) cout << y << endl; else cout << n << endl; #define debug(x) cout << #x << "=" << x << endl; #define vdebug(v) cout << #v << "=" << endl; REP(i, v.size()){ cout << v[i] << ","; } cout << endl; #define mdebug(m) cout << #m << "=" << endl; REP(i, m.size()){ REP(j, m[i].size()){ cout << m[i][j] << ","; } cout << endl;} #define pb push_back #define f first #define s second #define int long long #define INF 1000000000000000000 using vec = vector; using mat = vector; using Pii = pair; using PiP = pair; using PPi = pair; using bools = vector; using pairs = vector; template void readv(vector &a){ REP(i, a.size()) cin >> a[i]; } void readv_m1(vector &a){ REP(i, a.size()){cin >> a[i]; a[i]--;} } //int dx[4] = {1,0,-1,0}; //int dy[4] = {0,1,0,-1}; int mod = 1000000007; //int mod = 998244353; #define Add(x, y) x = (x + (y)) % mod #define Mult(x, y) x = (x * (y)) % mod int yakusuu(int x, vec &prime){ int n = 1; for(int p: prime){ int k = 0; while(x % p == 0){ k++; x /= p; } n *= k + 1; } return n; } signed main(){ vec prime; FOR(i, 2, 316){ bool f = true; FOR(j, 2, i) if(i % j == 0) f = false; if(f) prime.pb(i); } int N, K; cin >> N >> K; map m; int N0 = N; FOR(i, 2, N + 1){ while(N0 % i == 0){ m[i] += 1; N0 /= i; } } int ans, n = 0; FOR(i, 1, N){ int c = 0; int i0 = i; for(auto p: m){ REP(k, p.s){ if(i0 % p.f == 0){ c++; i0 /= p.f; } } } int y = yakusuu(i, prime); if(c >= K && y > n){ n = y; ans = i; } } cout << ans << endl; return 0; }