Which of the following is the value of gcd(22024−1,21012−1)\text{gcd}(2^{2024}-1, 2^{1012}-1)gcd(22024−1,21012−1)?
21012−12^{1012}-121012−1
21012+12^{1012}+121012+1
2506−12^{506}-12506−1
1