Question

find the greatest common factor of 36 and 60.

Explanation:

Step1: Prime - factorize 36

$36 = 2\times18=2\times2\times9 = 2^{2}\times3^{2}$

Step2: Prime - factorize 60

$60=2\times30 = 2\times2\times15=2^{2}\times3\times5$

Step3: Identify common prime factors

The common prime factors are $2^{2}$ and $3$.

Step4: Calculate GCF

$GCF(36,60)=2^{2}\times3=12$

Answer:

12