Question

find the greatest common factor of 30 and 75.

Explanation:

Step1: Prime - factorize 30

$30 = 2\times15=2\times3\times5$

Step2: Prime - factorize 75

$75 = 3\times25 = 3\times5\times5$

Step3: Identify common factors

The common factors of 30 and 75 are 3 and 5.

Step4: Calculate GCF

The greatest common factor (GCF) is the product of the common prime - factors, so $GCF(30,75)=3\times5 = 15$.

Answer:

15