ActionButtonsComponent.component

apex:component controller="ActionButtonsComponentController">
  <apex:attribute name="prev" assignTo="{!prevPage}" description="The previous page" type="String" required="true" />
  <apex:attribute name="next" assignTo="{!nextPage}" description="The next page" type="String" required="true" />

  <apex:form>
    <apex:commandButton action="{!goToPage1}" value="Page 1" id="button1" />
    <apex:commandButton action="{!goToPage2}" value="Page 2" id="button2" />
  </apex:form>
</apex:component>

ActionButtonsComponentController.cls

public with sharing class ActionButtonsComponentController {
    public ActionButtonsComponentController() {}

    public String prevPage { get; set; }
    public String nextPage { get; set; }

    public PageReference goToPage1 () {
        return new PageReference('/apex/' + prevPage);
    }

    public PageReference goToPage2 () {
        return new PageReference('/apex/' + nextPage);
    }
}

Page1.page

<apex:page showHeader="true" sidebar="true">
  <apex:sectionHeader title="Page 1" />
  <c:ActionButtonsComponent prev="Page1" next="Page2" />
</apex:page>

Page2.page

<apex:page showHeader="true" sidebar="true">
  <apex:sectionHeader title="Page 2" />
  <c:ActionButtonsComponent prev="Page1" next="Page2" />
</apex:page>