#### Answer

False

#### Work Step by Step

The prime factored form of 24 is:
$24=2\times2\times2\times3$
The prime factored form of 54 is:
$54=2\times3\times3\times3$
The prime factored form of 72 is:
$72=2\times2\times2\times3\times3$
Since one 2 and one 3 is common to all three numbers, the greatest common factor of 24, 54 and 72 is $2\times3=6$.
Therefore, the question statement is false.