By default, Tomcat listens on port 8080 for HTTP connections which you can see in the <tomcat base directory>/conf/server.xml file.

<Connector port="8080"
           protocol="HTTP/1.1"
           connectionTimeout="20000"
           redirectPort="8443"/>

And port 8443 for HTTPS.

<Connector port="8443"
           protocol="org.apache.coyote.http11.HttpNioProtocol"
           maxThreads="150"
           SSLEnabled="true"
           scheme="https"
           secure="true"
           clientAuth="false"
           sslProtocol="TLS" />

And port 8005 as the server SHUTDOWN port.

<Server port="8005"
        shutdown="SHUTDOWN" />

And port 8009 as for AJP.

<Connector port="8009"
           protocol="AJP/1.3"
           redirectPort="8443" />