Buggy python submission (verdict: Runtime Error):
import sys
from math import gcd

N = int(input())

A = list(map(int, input().split()))
A.sort()


if len(A) < 3:
    print(max(A))
    sys.exit()


left_side = [0 for _ in range(N)]
left_side[0] = A[0]

right_side = [0 for _ in range(N)]
right_side[-1] = A[-1]



for i in range(N -1):
    left_side[i + 1] = gcd(left_side[i], A[i + 1])

for i in range(1, N):
    right_side[-1* (i + 1)] = gcd(right_side[-1* i], A[ -1 *(i + 1)])


max_gcd = 1 
for i in range(1, N -1 ):
    left = left_side[i - 1]
    right = right_side[i + 1]
    max_gcd = max(max_gcd, gcd(left, right))




print(max_gcd)






Fixed submission:
import sys
from fractions import gcd

N = int(input())

A = list(map(int, input().split()))
A.sort()


if len(A) < 3:
    print(max(A))
    sys.exit()


left_side = [0 for _ in range(N)]
left_side[0] = A[0]

right_side = [0 for _ in range(N)]
right_side[-1] = A[-1]



for i in range(N -1):
    left_side[i + 1] = gcd(left_side[i], A[i + 1])

for i in range(1, N):
    right_side[-1* (i + 1)] = gcd(right_side[-1* i], A[ -1 *(i + 1)])


max_gcd = 1 

# left 
max_gcd = max(max_gcd, right_side[1])
# right
max_gcd = max(max_gcd, left_side[-2])

for i in range(1, N -1 ):
    left = left_side[i - 1]
    right = right_side[i + 1]
    max_gcd = max(max_gcd, gcd(left, right))




print(max_gcd)

Buggy python submission (verdict: Runtime Error):
import sys
N = input()

A = list(map(int, input().split()))
A.sort()


if len(A) < 3:
    print(max(A))
    sys.exit()



min_0 = A[0]
min_1 = A[1]
min_2 = A[2]


def primes(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return [i for i in range(n + 1) if is_prime[i]]



max_primes = primes(A[-1])

def soinsu(n):
    ret = [0 for _ in range(len(max_primes))]
    for p_index in range(len(max_primes)):
        p = max_primes[p_index]
        while n % p == 0:
            n /= p
            ret[p_index] += 1
    return ret

def kouyaku(x, y):
    kouyaku = 1
    for p_index in range(len(max_primes)):
        p = max_primes[p_index]
        i = min(x[p_index], y[p_index])
        kouyaku *= pow(p, i)
    return kouyaku

def check(n):
    fail_count = 0
    for a in A:
        if a % n != 0:
            fail_count +=1
            if fail_count == 2:
                return False
    return True



soinsu_0 = soinsu(min_0)
soinsu_1 = soinsu(min_1)
soinsu_2 = soinsu(min_2) 


kouyaku_01 = kouyaku(soinsu_0, soinsu_1)
kouyaku_12 = kouyaku(soinsu_1, soinsu_2)
kouyaku_02 = kouyaku(soinsu_0, soinsu_2)


ans = 1
if check(kouyaku_01):
    ans = max(ans, kouyaku_01)

if check(kouyaku_12):
    ans = max(ans, kouyaku_12)


if check(kouyaku_02):
    ans = max(ans, kouyaku_02)


print(ans)






Fixed submission:
import sys
from fractions import gcd

N = int(input())

A = list(map(int, input().split()))
A.sort()


if len(A) < 3:
    print(max(A))
    sys.exit()


left_side = [0 for _ in range(N)]
left_side[0] = A[0]

right_side = [0 for _ in range(N)]
right_side[-1] = A[-1]



for i in range(N -1):
    left_side[i + 1] = gcd(left_side[i], A[i + 1])

for i in range(1, N):
    right_side[-1* (i + 1)] = gcd(right_side[-1* i], A[ -1 *(i + 1)])


max_gcd = 1 

# left 
max_gcd = max(max_gcd, right_side[1])
# right
max_gcd = max(max_gcd, left_side[-2])

for i in range(1, N -1 ):
    left = left_side[i - 1]
    right = right_side[i + 1]
    max_gcd = max(max_gcd, gcd(left, right))




print(max_gcd)