<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-gcf-with-pf">GCF with PF Exercise</a></p><p>To find the <strong><span style="color:#27ae60;">Greatest Common Factor with Prime Factorization</span></strong>, follow these steps. For example, what is the greatest common factor of $60$ and $150$?</p>
<ul>
<li>Prime factorize both numbers
<ul>
<li>$60 = 2^23^15^1$</li>
<li>$150 = 2^13^15^2$</li>
</ul>
</li>
<li>Identify the prime divisors the two numbers share in common. Make sure to note the exponents they share in common too.
<ul>
<li>$60$ and $150$ share one $2$, one $3$, and one $5$.</li>
</ul>
</li>
<li>Multiply together what they share in common.
<ul>
<li>$2 \times 3 \times 5 = 30$</li>
</ul>
</li>
</ul>
<p> </p>