问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: What is the greatest common factor of 42 and 84?
A. 7
B. 21
C. 42
D. 84
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

C. 42		 C
deepseekr1

The greatest common factor (GCF) of 42 and 84 is determined by finding the largest number that divides both without a remainder. Listing the factors of each:

- **42**: 1, 2, 3, 6, 7, 14, 21, 42
- **84**: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The common factors are **1, 2, 3, 6, 7, 14, 21, 42**, with the largest being **42**. Prime factorization confirms this:
- **42** = 2 × 3 × 7
- **84** = 2² × 3 × 7

The GCF is the product of the common primes at their lowest powers: **2 × 3 × 7 = 42**.

**Answer: C**		 C
gpto1 C C
GPT-4o C. 42 C
llama3.1-70B-Instruct

The answer is B		 C
llama3.1-405B-Instruct

C. 42		 C
DeepSeek-Coder-V2 C. 42 C
Qwen2-72B-Instruct B. 21 C
baichuan4 C. 42 C
doubao C

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The greatest common factor is 42.		 C
minimax C. 42 C
kimi To find the greatest common factor (GCF) of 42 and 84, we can use the prime factorization method.

First, find the prime factors of each number:
- 42 = 2 × 3 × 7
- 84 = 2 × 2 × 3 × 7

Now, identify the common prime factors and multiply them together:
- Common factors are 2, 3, and 7.
- GCF = 2 × 3 × 7 = 42

So, the greatest common factor of 42 and 84 is 42.

Answer: C. 42		 C
wenxinyiyan C C
zhipu C. 42

The greatest common factor (GCF) of 42 and 84 is 42. This is because 42 is the largest number that divides both 42 and 84 without leaving a remainder. Specifically, 84 is exactly twice 42, making 42 the greatest common factor.		 C
gpto1 C C
deepseekv3 To find the greatest common factor (GCF) of 42 and 84, we can use the **prime factorization** method.

### Step 1: Find the prime factors of 42
- 42 ÷ 2 = 21
- 21 ÷ 3 = 7
- 7 ÷ 7 = 1
So, the prime factors of 42 are **2 × 3 × 7**.

### Step 2: Find the prime factors of 84
- 84 ÷ 2 = 42
- 42 ÷ 2 = 21
- 21 ÷ 3 = 7
- 7 ÷ 7 = 1
So, the prime factors of 84 are **2 × 2 × 3 × 7**.

### Step 3: Identify the common prime factors
The common prime factors of 42 and 84 are **2, 3, and 7**.

### Step 4: Multiply the common prime factors
2 × 3 × 7 = **42**.

Thus, the GCF of 42 and 84 is **42**.

**Answer: C. 42**		 C