Gautam Swami (Indrabhuti Gautama) is Mahavira’s Ganadhara (chief disciple). He is revered as a great practitioner and teacher who played a key role in spreading Mahavira’s teachings. The main “kalyanaks” commonly discussed for Tirthankaras (not for Gautam Swami) are five: conception, birth, renunciation, omniscience, and moksha. Gautam Swami himself is not a Tirthankar, so these five kalyanaks do not apply to him in the same way. What is highlighted for him in Jain tradition is his initiation (diksha) and his attainment of kevalgyan (omniscience). Different Jain traditions note these events with emphasis, but there isn’t a universally fixed “moksha kalyanak” for Gautam Swami in the same sense as for a Tirthankar. Some sources specifically mark his major milestones as his diksha and kevalgyan, and later moksha is understood in the broader Sahitya of the Ganadharas, with traditions differing on exact chronology. You can read more about Gautam Swami’s key events here.

• Gautam Swami Diksha Kalyanak (the day he renounced worldly life) is observed on Kartik Shukla Dashami.
• Kevalgyan Kalyanak (omniscience) of Gautam Swami is celebrated around the Diwali period.
• Some discussions note that Gautam Swami did attain kevaljnan and that moksha/nirvana is part of the Ganadhara tradition, but the exact framing as a separate “moksha kalyanak” is not uniform across Digambar and Shwetambar texts. You can read brief contextual notes here.

If you want, tell me which Jain tradition you follow (Digambara or Śvetāmbara) and I can outline the milestones for Gautam Swami as they are specifically described in that tradition.