Factor is a number which exactly divides another number without leaving any remainder. When we find the factors of 2, 3 or more numbers we will see that some factors are same and those same factors are called common factors.

**For Example:**

Find the common factors of 125 and 150

The factors of 125 are **1**, **5**, **25**, 125

The factors of 150 are **1**, **5**, 10, 15, **25**, 50, 150

The common factors of 125 and 150 are:

1, 5 & 25

**Here are few more examples illustrated**

**1. Find the common factors of 64 and 56**

The factors of 64 are:

**1**, **2**, **4**, **8**, 16, 32, 64

The factors of 56 are:

**1**, **2**, **4**, 7, **8**, 14, 28, 56

The common factors of 64 & 56 are:

1, 2, 4 & 8

**2. Find the common factors of 8, 12 and 16**

The factors of 8 are:

**1**, **2**, **4**, 8

The factors of 12 are:

**1**, **2**, 3, **4**, 6, 12

The factors of 16 are:

**1**, **2**, **4**, 8, 16

The common factors of 8, 12 and 16 are:

1, 2 and 4

**3. Find the common factors of 7, 49 and 343**

The factors of 7 are:

**1** and **7**

The factors of 49 are:

**1**, **7**, 49

The factors of 343 are:

**1**, **7**, 49, 343

The common factors of 7, 49 and 343 are:

1 and 7

**4. Find the common factors of 36, 96, 198**

The factors of 36 are:

**1**, **2**, **3**, 4, **6**, 9, 12, 18, 36

The factors of 96 are:

**1**, **2**, **3**, 4, **6**, 8, 12, 16, 24, 32, 48, 96

The factors of 198 are:

**1**, **2**, **3**, *6*, 11, 18, 33, 66, 99, 198

The common factors of 36, 96, 198 are:

1, 2, 3 & 6

**5. Find the common factors of 112, 128, and 256**

The factors of 112 are:

**1**, **2**, **4**, 7, 14, 28, 56, 112

The factors of 128 are:

**1**, **2**, **4**, 8, 16, 32, 64, 128

The factors of 256 are:

**1**, **2**, **4**, 8, 16, 32, 64, 128, 256

The common factors of 112, 128, and 256 are:

1, 2, & 4

**6. Find the common factors of 100, 150, and 200**

The factors of 100 are:

**1**, **2**, 4, **5**, **10**, 20 25, **50**, 100

The factors of 150 are:

**1**, **2**, 3, **5**, **10**, 15, 30, **50**, 75, 150

The factors of 200 are:

**1**, **2**, 4, **5**, 8, **10**, 20, 25, 40, **50**, 100, 200

The common factors of 100, 150, and 200 are:

1, 2, 5, 10, 50

**7. Find the common factors of 10, 20, 30 and 40**

The factors of 10 are:

**1**, **2**, **5**, **10**

The factors of 20 are:

**1**, **2**, 4, **5**, **10**, 20

The factors of 30 are:

**1**, **2**, 3, **5**, 6, **10**, 15, 30

The factors of 40 are:

**1**, **2**, 4, **5**, 8, **10**, 20, 40

The common factors of 10, 20, 30 and 40 are:

1, 2, 5 & 10

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