question\nidentify the greatest common factor of 18 and 36bc.

question\nidentify the greatest common factor of 18 and 36bc.

question\nidentify the greatest common factor of 18 and 36bc.

Answer

Explanation:

Step1: Prime - factorize 18

$18 = 2\times3^{2}$

Step2: Prime - factorize 36bc

$36bc=2^{2}\times3^{2}\times b\times c$

Step3: Find common factors

The common factors of 18 and 36bc are 2 and $3^{2}$.

Step4: Calculate GCF

The GCF is $2\times3^{2}=18$.

Answer:

18