import os
import sys
from io import BytesIO, IOBase
from collections import defaultdict, deque, Counter, OrderedDict
import threading
from heapq import *
from math import gcd

def main():
    n = int(input())
    D = []
    for i in range(n):
        x = bin(int(input(),16))[2:]
        D.append('0'*(n-len(x))+x)

    row = []
    length = 1
    for i in range(1,n):
        if D[i-1] == D[i]: length += 1
        else:row.append(length);length = 1
    row.append(length)

    col = []
    length = 1
    for i in range(1,n):
        flag = True
        for j in range(n):
            if D[j][i-1] != D[j][i]:flag = False
        if flag: length += 1
        else: col.append(length);length = 1
    col.append(length)

    ans1 = row[0]
    for x in row:
        ans1 = gcd(ans1, x)
    ans2 = col[0]
    for y in col:
        ans2 = gcd(ans2, y)
    print(gcd(ans1,ans2))






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")

# endregion

if __name__ == "__main__":
    """sys.setrecursionlimit(400000)
    threading.stack_size(40960000)
    thread = threading.Thread(target=main)
    thread.start()"""
    main()