Question

question
identify the greatest common factor of $42yz$ and $48z$.

Explanation:

Step1: Factor numerical coefficients

Prime factors of $42$: $2\times3\times7$
Prime factors of $48$: $2^4\times3$
GCF of 42 and 48: $2\times3=6$

Step2: Find common variables

Common variable in $42yz$ and $48z$ is $z$ (lowest power is $z^1$)

Step3: Combine GCF parts

Multiply numerical GCF and common variable: $6\times z=6z$

Answer:

$6z$