
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
One number has 21 divisors, and another number has 10 divisors. Find these numbers if their greatest common divisor is 18, and the numbers have no prime divisors other than 2 and 3.

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