The authors used Google Earth Engine to process the Landsat images.
The Google Earth Engine is a cloud platform, meaning that a network of thousands of computers works together to perform a task that a single computer would take years to do.
Similarly, Google Cloud provides the same features. Google Cloud allows you to store, manage, and process information on computer servers that are accessed through the Google Cloud website.
Cloud computing is especially helpful for processing large amounts of data/information.
Hansen and colleagues processed 700,000 images of Earth. Processing this information through the Google Earth Engine with 10,000 computers took approximately 15 days. If the authors only had one computer to work with, these calculations would have taken a few years!