I've been looking on the Internet for the shortcut to the Format Painter tool. No luck so far, it seems there's no shortcut for this tool. Maybe someone here knows better.
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There is no official keyboard shortcut for that. But you can customize a shortcut. Here's how: http://thelostgeeks.blogspot.com/2012/10/keyboard-shortcut-to-copypaste.html
Go to Tools-> Customize Keyboard. Select "Edit" from categories. On the right hand side select "Formatting". Go to "Press new shortcut key" and type in a new shortcut. I used Command + Shift + v. And , click on "Add" . Close the window. All set. Now i can just use the normal copy ( Command + c) the cells from which i want to copy the formatting. Then go the cell where i want to paste the format and hit the keyboard shortcut (Command + Shift + v). BAM ! the format is copied.
This article here gave a detail guide on how to solve this quickly.