docx
DOCX is a well-known format for Microsoft Word documents.
Introduced from 2007 with the release of Microsoft Office 2007, the structure of this new Document format was changed from plain binary to a combination of XML and binary files.
Docx files can be opened with Word 2007 and lateral versions but not with the earlier versions of MS Word which support DOC file extensions.
odt
ODT files are type of documents created with word processing applications that are based on OpenDocument Text File format.
These are created with word processor applications such as free OpenOffice Writer and can hold content such as text, images, objects and styles.
The ODT file is to Writer word processor what the DOCX is to Microsoft Word.
Several applications including Google Docs and Google’s web-based word processor included with Google Drive can open the ODT files for editing.
Microsoft Word can also open ODT files and save it in to other formats such as DOC and DOCX.