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

// コンテスト中のみ
//#define int long long

#define ll long long
#define rep(i,n) for(int i = 0; i < (n); i++)
#define P pair<ll,ll>
#define ld long double
ll INF = (1LL << 60);
int MOD = 1000000007;
ll gcd(ll a, ll b) {
	if (b == 0)return a;
	return gcd(b, a % b);
}
ll A, B, N;
ll ans = 1;
void dfs(ll i, ll now) {
	if (i == N) {
		ans *= now; ans %= MOD;
		return;
	}
	for (ll j = A; j <= B; j++) {
		dfs(i + 1, gcd(now, j));
	}
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> A >> B >> N;
	dfs(0, 0);
	cout << ans << endl;
	return 0;
}