Is the sufficient ghusl for janabah considered to have removed it, making the prayer and Hajj valid with it?

The sufficient ghusl (definition) for janabah (definition) - which is the washing of the entire outer body with water - is sufficient for wudu, and prayer is valid with it, as are acts requiring purity, such as the rituals of Hajj, based on the Almighty's saying: "{And if you are in a state of janabah, then purify yourselves.}" Scholars have unanimously agreed on its desirability before ghusl, following the example of the Prophet (peace and blessings be upon him).