<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-shared-factors-with-pf">Shared Factors with PF Exercise</a></p><p>To find the number of <strong><span style="color:#27ae60;">Shared Factors (positive) with Prime Factorization</span></strong>, follow these steps. For example, how many positive factors do $264$ and $1$,$980$ share?</p>
<ul>
<li>First, prime factorize both numbers:
<ul>
<li>$264=2^33^111^1$</li>
<li>$1$,$980=2^23^25^111^1$</li>
</ul>
</li>
<li>Identify what the two numbers share in common
<ul>
<li>$2^23^111^1$</li>
</ul>
</li>
<li>Do the "trick" where you add one to each exponent and multiply the numbers together.
<ul>
<li>$(2+1)(1+1)(1+1)=(3)(2)(2)=12$</li>
</ul>
</li>
</ul>