Catherine then went on to reveal her three children, Prince George, 9, Princess Charlotte, 7, and Prince Louis, 4, also enjoy looking at old pictures of their parents.
She added: "Our children look back at photos and are like 'Mummy, you look so young'."
The visit to Anglesey, Wales was the couple's first official engagement since the death of Queen Elizabeth on September 8 and the subsequent confirmation from King Charles that they would become the new Prince and Princess of Wales.
Catherine said of the special trip: "It's nice coming back to Wales because it's where we lived and had our family. It's been a really special day."
The couple previously lived in Anglesey while William was training to become a helicopter pilot with the Royal Air Force's Search and Rescue team.