How browsers like Mozilla, Chrome detects phishing pages
Detecting phishing website is purely based on the reputation of the website.
For example, the browser (Chrome or Firefox) will check if the site that you have visited is reported on the phishing list. It means somebody must have already reported that a website is potentially unsafe. When the browser finds in the database that the website is reported phishing it is immediately blocked by the browser.
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The other methodology is that the browser checks when the domain was registered and does it resemble the brand name or service.
It further checks the authenticity by looking for the host, if it has been reported as suspicious by visitors. If so the browser blocks the content.
Firefox works in a way that it returns the query to Google’s Safe Browsing service by sending the metadata to ensure if the website is authentic.