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Every time I save a file (having previewed it) in TeXShop, it saves five different files (.aux, .log, .pdf, .synctex.gz, and .tex). Is there a way to change the setting so that it only saves the .tex file? Or the .tex file and .pdf file?
File->Remove Aux Files...
Tools->Clean Auxiliary Files...
.log and .aux files are produced by TeX or LaTeX and are very important. You will see it, making more complicated documents. For example, the .aux file is useful when creating bibliographies.
Generally they a small, so there's no need of removing them during the work on a document.