Generative artificial intelligence (GenAI) chatbots have reshaped human-AI interaction behavior and transformed industries and educational sectors. Despite its advantages, GenAI presents several limitations and concerns. This study addresses fact-checking responses from GenAI to minimize the negative impacts of artificial hallucination. Artificial hallucination is a response generated by GenAI that contains false or misleading information. Addressing this problem necessitates appropriate interventions to remind users to ensure the accuracy of the GenAI-generated information, thus cultivating responsible and accountable usage. To address this concern, this study employed a behavioral economics approach using a digital nudge-based intervention to subtly remind users to fact-check the AI-generated output. To ensure cost efficiency, the proposed digital nudge intervention is delivered through a browser extension that automatically triggers popover alerts within the GenAI environment.