Find the common factors of:
42 and 98

Answer

To find the common factors of 42 and 98, we will follow these steps:

### Step 1: Find the factors of 42
To find the factors of 42, we need to determine which numbers can multiply together to give 42. We can start with 1 and go up to 42:

- 1 × 42 = 42
- 2 × 21 = 42
- 3 × 14 = 42
- 6 × 7 = 42

Thus, the factors of 42 are:
1, 2, 3, 6, 7, 14, 21, and 42.

### Step 2: Find the factors of 98
Next, we will find the factors of 98 by checking which numbers can multiply together to give 98:

- 1 × 98 = 98
- 2 × 49 = 98
- 7 × 14 = 98

Thus, the factors of 98 are:
1, 2, 7, 14, 49, and 98.

### Step 3: Identify the common factors
Now, we will compare the factors of 42 and 98 to find the common ones:

- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 98: 1, 2, 7, 14, 49, 98

The common factors are:
1, 2, 7, and 14.

### Final Answer
The common factors of 42 and 98 are:
1, 2, 7, and 14.

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