What is the greatest common factor of 24, 36, and 270?

1 Answer
Jun 18, 2017

6

Explanation:

Break the given numbers into their factors.

24 = 2*2*2*3

36 = 2*2*3*3

270 = 2*3*3*3*5

To find the highest common factors, choose all the common factors among the numbers given ie. 2,3
If those 3 numbers share the same repeated factors (eg 2*2, 3*3), select all the repeated factors.

Since 24,36,270 only have 2 and 3 in common,

Greatest common factor =2*3 = 6

Note: factors must be rational in this case.