#include <bits/stdc++.h>
using namespace std;

#define CPP_STR(x) CPP_STR_I(x)
#define CPP_CAT(x, y) CPP_CAT_I(x, y)
#define CPP_STR_I(args...) #args
#define CPP_CAT_I(x, y) x##y

#define ASSERT(expr...) assert((expr))

using i8 = int8_t;
using u8 = uint8_t;
using i16 = int16_t;
using u16 = uint16_t;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;

using f32 = float;
using f64 = double;
// }}}

constexpr i64 INF = 1'010'000'000'000'000'017LL;

constexpr i64 MOD = 998244353LL;

constexpr f64 EPS = 1e-12;

constexpr f64 PI = 3.14159265358979323846;

#define M5 100007
#define M9 1000000000

#define F first
#define S second

// util {{{
#define FOR(i, start, end) for (i64 i = (start), CPP_CAT(i, xxxx_end) = (end); i < CPP_CAT(i, xxxx_end); ++i)
#define REP(i, n) FOR(i, 0, n)

#define all(x) (x).begin(), (x).end()
#define ll long long int
#define VI vector<ll>
#define VVI vector<VI>

#define ISD true
#define debug(x) \
    if (ISD)     \
    cout << #x << ": " << x << endl

template <typename T, typename U, typename Comp = less<>>
bool chmax(T &xmax, const U &x, Comp comp = {})
{
    if (comp(xmax, x))
    {
        xmax = x;
        return true;
    }
    return false;
}

template <typename T, typename U, typename Comp = less<>>
bool chmin(T &xmin, const U &x, Comp comp = {})
{
    if (comp(x, xmin))
    {
        xmin = x;
        return true;
    }
    return false;
}

vector<long long> enum_divisors(long long N)
{
    vector<long long> res;
    for (long long i = 1; i * i <= N; ++i)
    {
        if (N % i == 0)
        {
            res.push_back(i);
            // 重複しないならば i の相方である N/i も push
            if (N / i != i)
                res.push_back(N / i);
        }
    }
    // 小さい順に並び替える
    sort(res.begin(), res.end());
    return res;
}

ll solve(ll N, ll K)
{
    ll T = N;
    while (T > K)
    {
        auto e = enum_divisors(T);
        ll s = e.size();
        ll l = e[(s - 1) / 2];
        ll r = e[s / 2];
        if (l > K || r > K)
        {
            return T;
        }
        T--;
    }
    return -1;
}

int main()
{
    ll T;
    cin >> T;
    VI ans(T);
    REP(t, T)
    {
        ll N, K;
        cin >> N >> K;
        ans[t] = solve(N, K);
    }

    for (auto a : ans)
        cout << a << endl;
}