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Common Factor

Definition Of Common Factor

A Common Factor is a number that divides two or more numbers exactly.

More About Common Factor

To find the common factors of two or more numbers, first write all the factors of those numbers and then pick the common ones among them.

Video Examples:Greatest Common Factor (GCF)

Example of Common Factor

The factors of 6 are 1, 2, 3 and 6.
The factors of 8 are 1, 2, 4 and 8.
So, the common factors of 6 and 8 are 1, 2.

Solved Example onCommon Factor

Ques: Find all the common factors of 16, 28 and 32.

Choices:

A. 1, 2, 3, and 4
B. 1, 2 and 4
C. 32, 56 and 64
D. 1, 2, 4, 5 and 10
Correct Answer: B

Solution:

Step 1: 16 = 1 × 16, 2 × 8, and 4 × 4 [Write the pairs of numbers with a product of 16.]
Step 2: The factors of 16 are 1, 2, 4, 8, and 16.
Step 3: 28 = 1 × 28, 2 × 14, and 4 × 7 [Write the pairs of numbers with a product of 28.]
Step 4: The factors of 28 are 1, 2, 4, 7, 14 and 28.
Step 5: 32 = 1 × 32, 2 × 16, and 4 × 8 [Write the pairs of numbers with a product of 32.]
Step 6: The factors of 32 are 1, 2, 4, 8, 16, and 32.
Step 7: So, the common factors of 16, 28, and 32 are 1, 2, and 4.