Originally Posted by LDV617
a .GIF is an image file, it is data, just like a .png .txt .doc .mp3 These won't give you malware.
That being said, Adobe Flash could be considered the #1 source of all malware in the world. They are completely unrelated, but if you asking about the threat level of .GIF you should be thinking about far more prominent security holes.
I appreciate what you're saying seems logical on the surface, in practicality you have it completely backwards.
With the case of images, about a decade or so ago, JPEGs were used to run code visitors desktops. If I recall correctly, the attack worked by exploiting a buffer overflow bug in JPEG's libraries. So it's not just possible that images can be used as an attack vector, it's actually happened in the past.
PNGs also support metadata, and I've seen some hackers build an entire website inside PNG - HTML and all embedded right inside the PNG container. SVGs are also vulnerable because it's executable XML.
All of the attacks I've described via images have since been plugged and I think developers have gotten better at writing secure code since the web isn't new any more so we're not so surprised by the genius of ingenuity. But it would be foolish to assume that other vulnerabilities wouldn't be found nor exploited in the future.
As for the OPs question, I doubt there's any problems with GIF and I certainly wouldn't worry about it. Flash and Java are by far and away bigger concerns.