Question

question
identify the greatest common factor of $36z$ and $50bcz$.

Explanation:

Step1: Factor coefficients

Prime factors of $36$: $2^2 \times 3^2$; Prime factors of $50$: $2 \times 5^2$. The common prime factor is $2$, so GCF of coefficients is $2$.

Step2: Identify common variables

Variables in $36z$: $z$; Variables in $50bcz$: $b, c, z$. The only common variable is $z$.

Step3: Combine GCF components

Multiply coefficient GCF and common variable: $2 \times z = 2z$

Answer:

$2z$