On our company site we have pages for multiple products. Some of the products become deprecated. These products are of no interest for us because they give no income.Pages for deprecated products attract relatively high number of visitors (more than the half combined). Keywords for deprecated and not-deprecated products have very-very little in common.Is it wise (from SEO perspective) to move all the pages for deprecated products to other sites? For us it basically doesn't matter what will happen with deprecated products and pages related to them but we of course don't want to affect other products in any negative way. The whole point of all this is to tell search engines that our site is more focused on what will left. 
Shall I remove pages for deprecated products?
seo
From an SEO standpoint it is not wise to remove pages for deprecated products.   Those pages have history and inbound links that give credibility to your website.    If you remove those pages and return 404 status, or redirect those pages to your homepage, you will lose any link juice associated with inbound links to those products.I would suggest leaving the pages up, but putting notice on those pages that the products are no longer available, (maybe no longer supported as well), and putting advertisements for your current products on those pages.  If you are getting visitors there, I would view it as a rich opportunity to sell more products to your loyal customers.   Maybe they don't even know about the new features available in a new product line.