#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
  #include "settings/debug.cpp"
#else
  #define Debug(...) void(0)
#endif
#define rep(i, n) for (int i = 0; i < (n); ++i)
using ll = long long;
using ull = unsigned long long;

#include <atcoder/modint>
using mint = atcoder::modint1000000007;

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int a, b, n;
  cin >> a >> b >> n;
  mint ans = 1;
  function<void(int, int)> dfs = [&](int idx, int g) {
    if (idx == n) {
      ans *= g;
      return;
    }
    for (int x = a; x <= b; ++x) dfs(idx + 1, gcd(x, g));
  };
  dfs(0, 0);
  cout << ans.val() << '\n';
  return 0;
}