
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
The digits of a two-digit number $AB$ are reversed to form another two-digit number $BA$. Then, 5 is subtracted from the lesser of the two-digit numbers, and this result is subtracted from the greater number. What prime number must be a factor of the difference if $A\neq B$ and $A > B$?

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