Customize the post meta function.

post meta

/* Customize the post meta function below the post AND remove it from category pages
http://wordpress.stackexchange.com/questions/50961/removing-post-meta-from-category-pages */

add_filter( 'genesis_post_meta', 'sp_post_meta_filter' );
function sp_post_meta_filter($post_meta) {
if ( !is_page() ) {
if (is_archive() ) $post_meta = '';
	else $post_meta = '[post_categories before="Categories: "] [post_tags before="Tagged: "]';
return $post_meta;
}}

post meta 2

/* Adjust post meta in entry header AND change comments text in comments button
http://wpspeak.com/remove-post-date-in-genesis-framework/ */

add_filter( 'genesis_post_info', 'post_info_filter' );
function post_info_filter($post_info) {
    $post_info = '[post_date] By [post_author_posts_link] [post_comments zero="Add a Comment" one="1 Comment" more="% Comments"] [post_edit]';
	return $post_info;
}