
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
Anne and Cathy are playing the Smallest Positive Integer Game. Anne says, "My number is 36." Cathy says, "What kind of smallest number is that? Each prime factor of my number must also be a prime factor of your number." Using the conditions provided by Cathy, determine the smallest possible number that Cathy could have.

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