A,B,N = map(int,input().split())

stack = list(range(A,B+1))
def gcd(a,b):
    while True:
        r = a % b
        a = b
        b = r
        if r == 0:return a
P = 10 ** 9 + 7
for _ in range(N-1):
    l = []
    for v in stack:
        for j in range(A,B+1):
            l.append(gcd(v,j))
    stack = l
ans = 1
for v in stack:
    ans = ans * v % P
print(ans)