TIFF is a format for storing raster graphics. It is used for scanning and OCR text, faxing, printing industry, is widely supported by a variety of graphics applications. The format was developed by Aldus Corporation in collaboration with Microsoft for use with PostScript. Who is copyright to it owns Adobe Systems. The format used to store images with great depth of color.

HEIF is a container that can be a single image or a sequence of images which makes it ideal for Apple's Live Photos. It is based on HEVC (High Efficiency Video Coding). The format is more convenient than the old JPEG mostly because it is twice smaller despite the fact that is has excellent quality. Therefore you can storage more images on your Apple device which is great. HEIF was developed in 2013 by MPEG (Moving Picture Experts Group) but has become popular only when Apple decided to replace JPEG with it in 2017. However, not so many programs are able to open it which is why you might need to convert it to another format.