Blogger has its own comment count option though we are using other comment widget like Disqus etc. When we use Disqus, it automatically counts the comments so there is no need of showing blogger comment count, if you are not using any other comment widget and like to stick on Blogger traditional comment count then its ok, no need of any further customization. Without futher discussion i am going to discuss the procedure of removing the comment count. Its very easy.
Follow the following steps
1) Go to Blogger-----Template------Edit HTML------Expand Widget Templates
2) Now search for ]]></b:skin>
3) Just above ]]></b:skin> add the following line of codes
.comment-link{display:none}
4) Now click on Preview, if everything ok then Save Template