Shared Factors with PF

<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 &quot;trick&quot; 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>