Question

What is the greatest common factor of 54 and 72?




A.

2


B.

3


C.

9


D.

18

Answer 1

72 is ummm 9 times 8.
Breaking it into it's prime factors \(\Large\rm 2\cdot2\cdot2\cdot3\cdot3\)

54 is uhhhh 9 times 6 yah?
it's prime factors are \(\Large\rm 3\cdot3\cdot3\cdot2\)

Soooo what is the greatest number of 3's that they both have?
and the greatest number of 2's also?

Answer 2

so its 3

Answer 3

??

Answer 4

is it 15

Answer 5

\[\Large\rm 54=\color{red}{3\cdot3}\cdot3\cdot\color{red}{2}\]\[\Large\rm 72=\color{red}{2}\cdot2\cdot2\cdot\color{red}{3\cdot3}\]They each have two threes and one 2 in common, yes?

Answer 6

So that would be the greatest common factor:\[\Large\rm \color{red}{3\cdot3\cdot2}\]

Answer 7

18

Answer 8

yay good job \c:/

I hope that explanation makes some sense.

Answer 9

k thank u