Why did Guildenstern and Rosencrantz decided to help the king spy on Hamlet?

Guildenstern and Rosencrantz decided to help the king spy on Hamlet primarily due to their loyalty to the crown and their desire for royal favor. They were summoned by King Claudius, who manipulated their friendship with Hamlet to serve his own interests, framing their involvement as a means to protect the kingdom. Additionally, their quest for purpose and status led them to accept the king's request, despite the moral implications of betraying their friend. Ultimately, their actions reflect their vulnerability to manipulation and the complexities of loyalty in the court's treacherous environment.