Problem: Walter and Jesse's friend Mike had helped them in making Crymeth and hence, they wanted to give him a share.
For deciding the share, they both decided to choose one number each, X and Y and found out that K^th Highest Common Factor of their two numbers is a good amount of Crymeth that can be given to Mike .
Walter and Jesse did this activity for D days in total. For each day, find out what quantity of Crymeth they decided to give to Mike.

Input:

First line contains a natural number D - the total number of days.
D lines follow. Each line contains three natural numbers - X, Y and K.

Output:

For each day, print the quantity given to Mike on a new line.
If the K^th HCF of X and Y does not exist, simply print "No crymeth today" (Without the quotes)

Constraints:
1 ≤ D ≤ 10^3
1 ≤ X, Y, K ≤ 10^10

SAMPLE INPUT
3
8 16 2
8 16 4
8 16 5

SAMPLE OUTPUT
4
1
No crymeth today

Explanation

1st Highest Common Factor of 8 and 16 = 8
2nd Highest Common Factor of 8 and 16 = 4
3rd Highest Common Factor of 8 and 16 = 2
4th Highest Common Factor of 8 and 16 = 1

Solution (in PYTHON):

Solution:
from fractions import gcd
import math

def kFactorEven(a, maxA, curK, gcd, lowerList):
	if a >= maxA:
		if a == maxA and gcd % a == 0: lowerList.append(a)
		if curK > len(lowerList): return -1
		else: return lowerList[len(lowerList) - curK]
	if gcd % a == 0:
		if curK - 1 == 0: return gcd / a
		else:
			lowerList.append(a)
			return kFactorEven(a+1, maxA, curK-1, gcd, lowerList)
	else: return kFactorEven(a+1, maxA, curK, gcd, lowerList)
	
def kFactorOdd(a, maxA, curK, gcd, lowerList):
	if a >= maxA:
		if a == maxA and gcd % a == 0: lowerList.append(a)
		if curK > len(lowerList): return -1
		else: return lowerList[len(lowerList) - curK]
	if gcd % a == 0:
		if curK - 1 == 0: return gcd / a
		else:
			lowerList.append(a)
			return kFactorOdd(a+2, maxA, curK-1, gcd, lowerList)
	else: return kFactorOdd(a+2, maxA, curK, gcd, lowerList)

T = input()
for _ in xrange(T):
	X, Y, K = map(int, raw_input().strip().split())
	gcdXY = gcd(X, Y)
	
	if gcdXY == 1:
		if K == 1: print "1" 
		else: print "No crymeth today"
		continue
	
	if K == 1:
		print gcdXY
		continue
	
	srGCD = math.sqrt(gcdXY)
	kthFactor = -1
	
	if gcdXY % 2 == 1:
		kthFactor = kFactorOdd(3, srGCD, K - 1, gcdXY, [1])
	else: kthFactor = kFactorEven(2, srGCD, K - 1, gcdXY, [1])
	
	if kthFactor > 0: print kthFactor
	else: print "No crymeth today"