I had the same problem, so I created a child theme, http://codex.wordpress.org/Child_Themes
Then create a copy of /wp-content/themes/GeoDirectory Framework/page.php in /wp-content/themes/My-Child-Theme/
Activate your child theme the usual way in WP admin
Then go to appearance > eiditor > and edit /wp-content/themes/My-Child-Theme/page.php: remove this line:
<p class=”byline vcard”> <?php printf( __( ‘Posted <time class=”updated” datetime=”%1$s” >%2$s</time> by <span class=”author”>%3$s</span>’, GEODIRECTORY_FRAMEWORK ), get_the_time(‘c’), get_the_time(get_option(‘date_format’)), get_the_author_link( get_the_author_meta( ‘ID’ ) )); ?> </p>