#include <bits/stdc++.h>
using namespace std;
inline int read();
inline long long readl();
inline void write(int x, int ch);
inline void writel(long long x, int ch);
const int maxn = 1e7 + 10;
long long qpow(long long x, long long n) {
  long long res = 1;
  while (n) {
    if (n & 1) res = res * x;
    n >>= 1;
    x = x * x;
  }
  return res;
}
int a[110], b[110], n, x;
signed main() {
  int test = read();
  while (test--) {
    long long p = readl(), q = readl();
    if (p % q) {
      printf("%lld\n", p);
    } else {
      long long ans = 1;
      long long q1 = q;
      for (long long i = 2; i * i <= q; i++) {
        if (q1 % i == 0) {
          while (q1 % i == 0) {
            q1 /= i;
          }
          long long tmp = q / i;
          long long tt = p / q;
          while (tt % i == 0) {
            tt /= i;
          }
          ans = max(ans, tmp * tt);
        }
      }
      if (q1 > 1) {
        long long tmp = q / q1;
        long long tt = p / q;
        while (tt % q1 == 0) {
          tt /= q1;
        }
        ans = max(ans, tmp * tt);
      }
      writel(ans, 1);
    }
  }
}
inline void writel(long long x, int ch) {
  if (x < 0) {
    putchar('-');
    x = -x;
  }
  if (x > 9) {
    writel(x / 10, 0);
  }
  putchar(x % 10 + '0');
  if (ch) printf("\n");
  return;
}
inline void write(int x, int ch) {
  if (x < 0) {
    putchar('-');
    x = -x;
  }
  if (x > 9) {
    write(x / 10, 0);
  }
  putchar(x % 10 + '0');
  if (ch) printf("\n");
  return;
}
inline long long readl() {
  long long x = 0, f = 1;
  char ch = getchar();
  while (ch > '9' || ch < '0') {
    if (ch == '-') f = -1;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    x = x * 10 + ch - '0';
    ch = getchar();
  }
  return x * f;
}
inline int read() {
  int x = 0, f = 1;
  char ch = getchar();
  while (ch > '9' || ch < '0') {
    if (ch == '-') f = -1;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    x = x * 10 + ch - '0';
    ch = getchar();
  }
  return x * f;
}
