
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
What is the greatest power of $2$ that is a factor of $15^{600} - 3^{600}$?
A $2^{600}$ 
B $2^{800}$ 
C $2^{1000}$ 
D $2^{1200}$ 
E $2^{1400}$

Present the answer in LaTex format: \boxed{Your answer}
user