Constant Function Market Makers (CFMMs) have emerged as an innovation in decentralized finance, providing an efficient and computationally cheap on-chain solution for exchanging digital assets without needing traditional order books. CFMMs revolutionize how assets are traded, enabling a more seamless and accessible marketplace and have become the most widely used decentralized crypto product. However, as the popularity of decentralized finance grows, so does the need to address the privacy concerns arising from the transparent nature of blockchain-based transactions. In this article, we will delve into the nature of privacy in CFMMs and discuss them in reference to the works “A note on privacy in Constant Function Market Makers” by Angeris et al. and “Differential Privacy in Constant Function Market Makers” by Tarun Chitra et al.