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

1 Answer
John C.
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.

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