Common Factor — lesson. Mathematics State Board, Class 6.

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Common factor

When we find factors for two or more numbers if any factors are common (same) between the numbers, they are called common factors.

Example:

1. Find the common factors of

$8$ and

$24$ .

$1 \times 8 = 8$

$2 \times 4 = 8$

$4 \times 2 = 8$

We stop here because

$2$ and

$4$ already exist as a factor.

$1 \times 24 = 24$

$2 \times 12 = 24$

$3 \times 8 = 24$

$4 \times 6 = 24$

$6 \times 4 = 24$

We stop here because

$4$ and

$6$ already exist as a factor.

Common factors of

$8$ and

$24$ are

$1$ ,

$2$ ,

$4$ and

$8$ .

2. Find common factors of

$15$ ,

$45$ and

$50$ .

$1 \times 15 = 15$

$3 \times 5 = 15$

$5 \times 3 = 15$

We stop here because

$3$ and

$5$ already exist as a factor.

$1 \times 45 = 45$

$3 \times 15 = 45$

$5 \times 9 = 45$

$9 \times 5 = 45$

We stop here because

$5$ and

$9$ already exist as a factor.

$1 \times 50 = 50$

$2 \times 25 = 50$

$5 \times 10 = 50$

$10 \times 5 = 50$

We stop here because

$5$ and

$10$ already exist as a factor.

Common factors of

$15$ ,

$45$ and

$50$ are

$1$ and

$5$ .

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1. Common Factor

Theory: