In a discussion in a webmaster forum, Google’s Zineb Ait Bahajji made clear that websites with responsive design do not get higher rankings than other sites:
“We do not rank responsive web design sites better than sites using other configurations (separate site for mobile or dynamic serving). […]
Google does not favor any particular configuration as long as the page(s) and all page assets are accessible to all Googlebot user-agents.”
If you want to make sure that your web pages get the best possible rankings on Google, check your web pages with the website audit tool.
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