Single tool with critical definition gaps. Tool name 'getMaxCommonFactorByParam' violates verb_noun convention (should be 'get_max_common_factor'). Description is 20 chars, at the bare minimum threshold but lacks context on when/why to use it. Input schema present but parameter 'number' description is generic ('输入的正整数' = 'input positive integer') and lacks constraints (min/max bounds). No output schema documented. No error handling guidance (what if input is negative or zero?). Tool appears functional but falls short of production-grade definition quality.

• Rename tool to 'get_max_common_factor' (snake_case, verb_noun pattern). Update Spring AI tool registration to use the new name.
• Document output schema explicitly. Add to tool description or separate schema doc: 'Returns: {factor: integer}' or similar. Specify the exact JSON structure.
• Add parameter constraints to 'number' description: 'Positive integer in range [2, 2147483647]. Returns error if input < 2.'
• Add error handling section to tool description: 'Errors: If input < 2, returns {error: "Input must be >= 2"}. If input is not an integer, returns {error: "Input must be an integer"}.'
• Expand tool description to 80 - 150 characters explaining purpose and use case. Example: 'Find the largest proper divisor of a positive integer. Used for factorization analysis and GCD-related calculations.'