Question

question
identify the greatest common factor of 40cy and 16c.

Explanation:

Step1: Factor coefficients

Prime factors of 40: $2 \times 2 \times 2 \times 5$
Prime factors of 16: $2 \times 2 \times 2 \times 2$
GCF of coefficients: $2 \times 2 \times 2 = 8$

Step2: Factor common variables

Common variable in $40cy$ and $16c$ is $c$.

Step3: Combine GCF parts

Multiply coefficient GCF and common variable.
$8 \times c = 8c$

Answer:

$8c$