Language: C++

#define _CRT_SECURE_NO_WARNINGS
#define _SCL_SECURE_NO_WARNINGS
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <iostream>
#include <string>
#include <vector>
#include <list>
#include <utility>
#include <algorithm>
#include <functional>
#include <cmath>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <iomanip>
#include <sstream>
#include <bitset>
#include <limits>
#include <numeric>
#include <valarray>
#include <fstream>

using namespace std;
typedef unsigned int uint;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<LL, LL> PP;
#define REP(i, a, n) for(LL i = (a), i##_max = (n); i < i##_max; ++i)
#define REM(i, a, n) for(LL i = (LL)(n) - 1, i##min = (a); i >= i##min; --i)
#define ALL(arr) (arr).begin(), (arr).end()
#define FLOAT fixed << setprecision(16)
#define SPEEDUP {cin.tie(NULL); ios::sync_with_stdio(false);}
const int INF = 0x3FFFFFFF;
const LL INFLL = 0x3FFFFFFF3FFFFFFF;
const double INFD = 1.0e+308;
const double EPS = 1.0e-9;

void YesNo(bool b) { cout << (b ? "Yes" : "No") << endl; }
void YESNO(bool b) { cout << (b ? "YES" : "NO") << endl; }
template <class T, class U>
istream& operator>>(istream& ist, pair<T, U>& right) { return ist >> right.first >> right.second; }
template <class T, class U>
ostream& operator<<(ostream& ost, const pair<T, U>& right) { return ost << right.first << ' ' << right.second; }
template <class T, class TCompatible, size_t N>
void Fill(T(&dest)[N], const TCompatible& val) { fill(dest, dest + N, val); }
template <class T, class TCompatible, size_t M, size_t N>
void Fill(T(&dest)[M][N], const TCompatible& val) { for (int i = 0; i < M; ++i) Fill(dest[i], val); }
template<class T>
T Compare(T left, T right) { return left > right ? 1 : (left < right ? -1 : 0); }
istream& Ignore(istream& ist) { string s; ist >> s; return ist; }
bool Inside(int i, int j, int h, int w) { return i >= 0 && i < h && j >= 0 && j < w; }
template <class T>
T Next() { T buf; cin >> buf; return buf; }

#ifdef ONLY_MY_ENVIR
#include "IntMod.h"
#include "BinaryMatrix.h"
#include "BIT.h"
#include "Factorization.h"
#include "FlowSolver.h"
#include "Graph.h"
#include "LazySegmentTree.h"
#include "Math.h"
#include "Matrix.h"
#include "MinMax.h"
#include "Position.h"
#include "Range.h"
#include "Rational.h"
#include "SegmentTree.h"
#include "SegmentTree2D.h"
#include "SuffixArray.h"
#include "Tree.h"
#include "UnionFind.h"
#endif

#ifdef __GNUC__
typedef __int128 LLL;
istream& operator>> (istream& ist, __int128& val) { LL tmp;  ist >> tmp; val = tmp; return ist; }
ostream& operator<< (ostream& ost, __int128 val) { LL tmp = val; ost << tmp; return ost; }
#endif

#if 1234567891
#include <array>
#include <random>
#include <unordered_set>
#include <unordered_map>
template<typename T>
using PriorityQ = priority_queue<T, vector<T>, greater<T> >;
// template <class T>
// auto Is(const T& value) { return [value](const auto& comparand) -> bool { return comparand == value; }; }
#endif

int gcd(int a, int b) {
	if (b == 0) return a;
	return gcd(b, a % b);
}

const int MAX = 40000;
bool is_p[MAX];
void pre() {
	Fill(is_p, true);
	is_p[0] = false;
	is_p[1] = false;
	for (int i = 2; i < MAX; ++i) {
		for (int k = i * i; k < MAX; k += i) {
			is_p[k] = false;
		}
	}
}

int N;
int A[10001];
set<int> ans;

LL T[10001];
bool ok(int p) {
	REP(i, 0, N + 1) {
		T[i] = A[i] % p;
	}

	REP(i, p - 1, N + 1) {
		T[i] += T[i - (p - 1)];
		T[i - (p - 1)] = 0;
	}

	REP(i, 0, N + 1) {
		if (T[i] % p != 0) return false;
	}
	return true;
}

bool is_prime(int n) {
	if (n == 1) return false;
	for (int i = 2; i * i <= n; ++i) {
		if (n % i == 0) return false;
	}
	return true;
}

int main() {
	cin >> N;
	REP(i, 0, N + 1) {
		cin >> A[i];
	}
	pre();

	int g = 0;
	REP(i, 0, N + 1) {
		g = abs(GCD(g, A[i]));
	}

	REP(k, 2, MAX) {
		if (!is_p[k]) continue;
		if (g % k == 0) {
			ans.insert(k);
		}
	}

	if (is_prime(g)) {
		ans.insert(g);
	}

	REP(k, 2, N + 1) {
		if (!is_p[k]) continue;
		if (A[N] % k == 0) {
			if (ok(k)) {
				ans.insert(k);
			}
		}
	}

	for (int a : ans) {
		if (a == 1) continue;
		cout << a << endl;
	}
	return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:153:25: error: 'GCD' was not declared in this scope
  153 |                 g = abs(GCD(g, A[i]));
      |                         ^~~