Question

find the greatest common factor of 32 and 36.

Explanation:

Step1: Prime - factorize 32

$32 = 2\times2\times2\times2\times2=2^{5}$

Step2: Prime - factorize 36

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

Step3: Identify common factors

The common prime factors are 2, 2.

Step4: Calculate GCF

$GCF(32,36)=2\times2 = 4$

Answer:

4