
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
Vanya has chosen two natural numbers whose product is 7200. What is the greatest possible value that the greatest common divisor (GCD) of these numbers can have?

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