
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
For any positive integer \( n \), the value of \( n! \) is the product of the first \( n \) positive integers. For example, \( 4! = 4 \cdot 3 \cdot 2 \cdot 1 = 24 \). What is the greatest common divisor of \( 8! \) and \( 11! \) ?

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