#include <bits/stdc++.h>
#define rep(i,n) for(int i=(0);i<(n);i++)

using namespace std;

typedef long long ll;

template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }

ll MOD = 1e9 + 7;

ll a, b, n;
ll ans;

ll mygcd(ll a, ll b){
	if(b == 0) return a;
	return mygcd(b, a % b);
}

void dfs(vector<ll> v){
	if(v.size() == n){
		ll ret = v[0];
		rep(i, n - 1) ret = mygcd(ret, v[i+1]);

		ans *= ret;
		ans %= MOD;
		return;
	}

	for(int i = a; i <= b; i++){
		v.push_back(i);
		dfs(v);
		v.pop_back();
	}
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);

	cin >> a >> b >> n;
	ans = 1ll;
	vector<ll> v;
	dfs(v);
	cout << ans << endl;
}