Question

what is the greatest common factor of 30, 20, and 50?

Explanation:

Step1: Prime - factorize the numbers

$30 = 2\times3\times5$; $20 = 2\times2\times5$; $50 = 2\times5\times5$

Step2: Identify common prime factors

The common prime factors are $2$ and $5$.

Step3: Calculate the GCF

The GCF is the product of the common prime factors with the lowest exponent, so $GCF(30,20,50)=2\times5 = 10$.

Answer:

10