Question

identify the greatest common factor of 24ay and 48ax²z².

Explanation:

Step1: Factor numerical coefficients

Prime factorize 24 and 48:
$24 = 2^3 \times 3$
$48 = 2^4 \times 3$
The GCF of 24 and 48 is $2^3 \times 3 = 24$.

Step2: Identify common variables

For variable $a$: present in both terms.
For variables $y, x, z$: only $a$ is shared between $24ay$ and $48ax^2z^2$.

Step3: Combine GCF components

Multiply the numerical GCF and common variable.
$24 \times a = 24a$

Answer:

$24a$