Question

How many common factors do 24 and 48 have?

• A. 10
• B. 9
• C. 8
• D. 4

Answer 1

The correct option is C 8

24 and 48 can be expressed as follows:

$24=1\times 24$
$24=2\times 12$
$24=3\times 8$
$24=4\times 6$

$48=1\times 48$
$48=2\times 24$
$48=3\times 16$
$48=4\times 12$
$48=6\times 8$

$\therefore$ Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

$\therefore$ The common factors of 24 and 48 are 1, 2, 3, 4, 6, 8, 12 and 24.

That is, 24 and 48 have 8 common factors.