Find the common factors of:
30, 60, 80

Answer

To find the common factors of the numbers 30, 60, and 80, we can follow these steps:

### Step 1: Find the factors of each number.

**Factors of 30:**
- Start with 1: \(1 \times 30 = 30\)
- Next, 2: \(2 \times 15 = 30\)
- Then, 3: \(3 \times 10 = 30\)
- Finally, 5: \(5 \times 6 = 30\)

So, the factors of 30 are: **1, 2, 3, 5, 6, 10, 15, 30**

**Factors of 60:**
- Start with 1: \(1 \times 60 = 60\)
- Next, 2: \(2 \times 30 = 60\)
- Then, 3: \(3 \times 20 = 60\)
- Next, 4: \(4 \times 15 = 60\)
- Then, 5: \(5 \times 12 = 60\)
- Next, 6: \(6 \times 10 = 60\)

So, the factors of 60 are: **1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60**

**Factors of 80:**
- Start with 1: \(1 \times 80 = 80\)
- Next, 2: \(2 \times 40 = 80\)
- Then, 4: \(4 \times 20 = 80\)
- Next, 5: \(5 \times 16 = 80\)
- Then, 8: \(8 \times 10 = 80\)

So, the factors of 80 are: **1, 2, 4, 5, 8, 10, 16, 20, 40, 80**

### Step 2: Identify the common factors.

Now, we will list the factors we found for each number:

- **Factors of 30:** 1, 2, 3, 5, 6, 10, 15, 30
- **Factors of 60:** 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- **Factors of 80:** 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Now, we will look for the numbers that appear in all three lists:

- **Common factors:** 1, 2, 5, 10

### Final Answer:
The common factors of 30, 60, and 80 are: **1, 2, 5, 10**

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