Final answer:
The GCF of 16B₄ and 4B₂C₂ in factored form is 2B²C².
Step-by-step explanation:
To find the greatest common factor (GCF) of 16B₄ and 4B₂C₂ in factored form, we need to determine the highest power of each variable that appears in both expressions.
For the variable B, the highest power is 4 in the first expression and 2 in the second expression. To find the GCF for B, we take the lowest power, which is 2.
For the variable C, it only appears in the second expression with a power of 2. Therefore, the GCF for C is 2.
Putting it all together, the GCF in factored form is 2B²C².