The farthest galaxy observed to date is GN-z11, which is located approximately 13.4 billion light-years away from Earth. This distance is based on the current estimation of the age of the universe and the redshift of light emitted by the galaxy. GN-z11 is located in the constellation Ursa Major and was discovered using the Hubble Space Telescope.
It's important to note that our observations of the universe are limited by the finite speed of light and the age of the universe. As we look farther into space, we are also looking back in time. The light we receive from distant objects has taken billions of years to reach us, allowing us to observe them as they appeared when the universe was younger.
Due to ongoing advancements in observational techniques and technology, astronomers may continue to discover even more distant galaxies in the future. These discoveries contribute to our understanding of the early universe and its evolution over time.