We analyse storage problems of the digital images in accordance with image quality and image compression efficiency. The storage problems are relevant for Cloud storage and file hosting services, online file storage providers, social networks, etc. In this paper, an approach is proposed to process a group of the images with a JPEG algorithm that all the processed images satisfy the minimum threshold of quality with the automatic selection of the quality factor. The experimental investigation reveals advantages of the compression efficiency of the proposed approach over the traditional JPEG algorithm. The proposed approach enables saving the storage spaces while maintaining the desirable image quality.