import os
import sys
from io import BytesIO, IOBase
import math


def inputIntArray():
    return list(map(int, input().rstrip().split()))


def inputArray():
    return input().rstrip().split()


def inputVars():
    return map(int, input().rstrip().split())


def inputNum():
    return int(input())
lookup = [32, 0, 1, 26, 2, 23, 27, 0,3, 16, 24, 30, 28, 11, 0, 13,4, 7, 17, 0, 25, 22, 31, 15,29, 10, 12, 6, 0, 21,
              14, 9,5, 20, 8, 19, 18]
def getTrailingZeroes(num):
    return lookup[(num&(-num))%37]

def main():
    for _ in range(inputNum()):
        TS = inputNum()
        JS = 0
        if TS % 2 != 0:
            JS = TS//2
        else:
            trailZeroCnt = getTrailingZeroes(TS)+1
            JS = TS//int(2**trailZeroCnt)

        print(JS)


#.........................................FAST INPUT OUTPUT.......................................
BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")

#....................................END OF FAST I/O............................................

if __name__ == "__main__":
    main()