No, two different rocket were used: the Saturn IB and the Saturn V.
The smaller Saturn IB was an upgraded two-stage Saturn I rocket. It was 199.8 feet tall and weighed 1,282,850 pounds.
The Saturn V is to date the largest rocket ever made. It stood 363 feet tall and weighed 6,699,000 pounds.
The Saturn IB was used primarily for testing Apollo hardware, but the Saturn V was used to boost crews to the moon. A modified Saturn V (called the Saturn INT-21) lifted the Skylab Space Station to Low Earth Orbit.