| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 18 |
B |
| deepseekr1 | The greatest common factor (GCF) of 36 and 90 is found by identifying the largest number that divides both without a remainder. Listing the factors of each, the common factors are 1, 2, 3, 6, 9, and 18, with 18 being the greatest. Using prime factorization, 36 = 2² × 3² and 90 = 2 × 3² × 5. The GCF is the product of the lowest powers of shared primes: 2¹ × 3² = 18. Answer: B. 18 |
B |
| gpto1 | B | B |
| GPT-4o | B. 18 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. 18 |
B |
| DeepSeek-Coder-V2 | B. 18 | B |
| Qwen2-72B-Instruct | B. 18 | B |
| baichuan4 | B. 18 | B |
| doubao | B The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The common factors are 1, 2, 3, 6, 9, and 18. The greatest common factor is 18. |
B |
| minimax | B. 18 | B |
| kimi | To find the greatest common factor (GCF) of 36 and 90, we can use the prime factorization method. First, we find the prime factors of each number: 36 = 2^2 * 3^2 90 = 2 * 3^2 * 5 Now, we look for the common prime factors with the lowest powers: - The common prime factor is 3. - The lowest power of 3 that appears in both factorizations is 3^2. So, the GCF is 3^2 = 9. However, none of the options provided (A, B, C, D) match the correct GCF of 9. There might be an error in the question or the options provided. If we consider the greatest common divisor (GCD), which is the same as GCF for whole numbers, then the correct answer would be: A. 6 B. 18 C. 36 D. 180 The correct GCD of 36 and 90 is 18, so the answer would be: Answer: B. 18 |
B |
| wenxinyiyan | B | B |
| zhipu | B. 18 The greatest common factor (GCF) of 36 and 90 is 18. To find the GCF, you can list the factors of each number and identify the largest factor they have in common. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 The largest common factor is 18. |
B |
| gpto1 | B | B |
| deepseekv3 | To find the greatest common factor (GCF) of 36 and 90, we can use the **prime factorization method**: 1. **Prime factorization of 36**: \( 36 = 2 \times 2 \times 3 \times 3 = 2^2 \times 3^2 \). 2. **Prime factorization of 90**: \( 90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5^1 \). 3. **Identify the common prime factors with the smallest exponents**: The common prime factors are \( 2^1 \) and \( 3^2 \). 4. **Multiply the common prime factors**: \( 2^1 \times 3^2 = 2 \times 9 = 18 \). Thus, the greatest common factor of 36 and 90 is **18**. **Answer:** B. 18 |
B |