Final answer:
Neptune is the gas giant with the biggest orbit in our solar system, located about 30 astronomical units from the Sun and taking approximately 165 Earth years to complete one orbit.
Step-by-step explanation:
The gas giant planet with the biggest orbit in our solar system is Neptune. Among the options provided, it is the farthest from the Sun at a distance of about 30 astronomical units (AU). A single orbit of Neptune around the Sun takes approximately 165 Earth years. The other gas giants are closer, with Uranus at 19 AU, Saturn nearly 10 AU, and Jupiter at 5 AU from the Sun. Neptune's large orbital distance and extended year make it an intriguing and distant world in our solar system.