The International Coaching Federation defines coaching as partnering with clients in a thought-provoking and creative process that inspires them to maximize their personal and professional potential.
Agile consulting is about offering expertise, analysis and recommendations. It gives people an idea on how to alleviate a certain problem. Consultants use their expertise and experience to advise people the solutions with leaves them motivated.
From Facilitator's Guide to Participatory Decision-Making
The facilitator's job is to support everyone to do their best thinking. To do this, the facilitator encourages full participation, promotes mutual understanding and cultivates shared responsibility.