When comparing GroupMe vs Campfire, the Slant community recommends Campfire for most people. In the question“What is the best team chat software?” Campfire is ranked 30th while GroupMe is ranked 49th.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Reads receipts
GroupMe has a built in function to read receipts.

Pro Great web client
GroupMe has an excellent web client that can be used to send and receive messages and manage groups from the desktop.

Pro IFTTT Integration
Allows sending messages from web services via IFTTT.

Pro Integrated calendar
It's possible to add location and time with reminders directly in the GroupMe app.

Pro Makes it easy to silence 1 or all groups
GroupMe has settings that allow muting a single group or turn off all GroupMe notifications from within the app.

Pro Does not require everyone in the group to have a smartphone
GroupMe can set up a custom phone number which allows people without the App to send and receive messages. This makes it easy to add anyone to messaging.
Pro Supports optional 128-bit SSL encryption
Pro Guest access
You can invite people to join conversations even if they don't have a Campfire account. Campfire will generate a link to share and the guest will only need to enter their name to join the conversation.
Pro Easy conferencing
When you need to make a conference call, all you need to click is "Start A New Call" and Campfire instantly embeds a phone number and password code in the message thread.
Pro Mobile apps
Campfire supports only iOS, but third party apps can be used for Android. There are also other third party apps that build upon Campfire and extend its functionality.
Pro Embeds images
Images that are uploaded in the GIF, PNG, or JPEG formats are represented as thumbnails in the chat room.
Cons
Con Drains battery fast
GroupMe, in order to have a constant connection which allows for notifications drains the battery of a device quickly, which is not ideal for a messaging app that one needs on time notifications from.
Con Future of Campfire is uncertain
37signals have "changed direction" away from Campfire, focusing on Basecamp. They've ruled out shutting it down, but at this stage it's uncertain whether it'll be spun off as a separate company, sold off, or run in maintenance mode without any new features.
Con No private one-on-one conversation possibility
Con Does not show who's online
