Question

find the greatest common factor of 12, 18, and 30.

Explanation:

Step1: Prime - factorize the numbers

$12 = 2\times2\times3$
$18 = 2\times3\times3$
$30 = 2\times3\times5$

Step2: Identify common prime factors

The common prime factors of 12, 18, and 30 are 2 and 3.

Step3: Calculate the GCF

The GCF is the product of the common prime factors, so $GCF(12,18,30)=2\times3 = 6$.

Answer:

6