find the greatest common factor of 30 and 75.
find the greatest common factor of 30 and 75.
Answer
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 prime factors of 30 and 75 are 3 and 5.
Step4: Calculate GCF
The GCF is the product of the common prime factors, so $GCF(30,75)=3\times5 = 15$.
Answer:
15