Recover RSA private key from public keys - rhme2 Key Server (crypto 200)

Using the greatest common divisor (GCD) to factorize the public modulo into the secret primes, so we can forge a RSA signature. Source for the rhme2 challenges: https://github.com/Riscure/Rhme-2016 =[ 🔴 Stuff I use ]= → Microphone:* https://geni.us/ntg3b → Graphics tablet:* https://geni.us/wacom-intuos → Camera#1 for streaming:* https://geni.us/sony-camera → Lens for streaming:* https://geni.us/sony-lense → Connect Camera#1 to PC:* https://geni.us/cam-link → Keyboard:* https://geni.us/mech-keyboard → Old Microphone:* https://geni.us/mic-at2020usb US Store Front:* https://www.amazon.com/shop/liveoverflow =[ ❤️ Support ]= → per Video:   / liveoverflow   → per Month:    / @liveoverflow   =[ 🐕 Social ]= → Twitter:   / liveoverflow   → Website: https://liveoverflow.com/ → Subreddit:   / liveoverflow   → Facebook:   / liveoverflow   =[ 📄 P.S. ]= All links with "*" are affiliate links. LiveOverflow / Security Flag GmbH is part of the Amazon Affiliate Partner Programm. #CTF #Cryptography