from math import gcd #素因数列挙 def prime_factorize(n): a = [] while n % 2 == 0: a.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: a.append(f) n //= f else: f += 2 if n != 1: a.append(n) return a #約数列挙 def make_divisors(n): lower_divisors , upper_divisors = [], [] i = 1 while i*i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n//i) i += 1 return lower_divisors + upper_divisors[::-1] N,K = map(int,input().split()) ans,count = 0,0 for i in range(N-1,0,-1): GCD = gcd(N,i) Pr_GCD = prime_factorize(GCD) if len(Pr_GCD) >= K: lenGcd = len(make_divisors(i)) if lenGcd >= count: count = lenGcd ans = i print(ans)