SOLUTION: Find the greatest common factor for each of the following group of numbers. 36, 72, and 144 Can someone please help me with this. The common factor is a number that all these n

Algebra ->  Equations -> SOLUTION: Find the greatest common factor for each of the following group of numbers. 36, 72, and 144 Can someone please help me with this. The common factor is a number that all these n      Log On


   

Question 105744: Find the greatest common factor for each of the following group of numbers.
36, 72, and 144
Can someone please help me with this. The common factor is a number that all these numbers can be divided by?? Am I at least thinking of the correct answer?
Thank you!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
36, 72, and 144
Break down each number into its prime factors.
+36=++++2%2A2%2A3%2A3
+72=++2%2A2%2A2%2A3%2A3
144=2%2A2%2A2%2A2%2A3%2A3
Now look at the numbers that they all have in common.
36=++++highlight%282%2A2%2A3%2A3%29
+72=++2%2Ahighlight%282%2A2%2A3%2A3%29
144=2%2A2%2Ahighlight%282%2A2%2A3%2A3%29
GCF=highlight%282%2A2%2A3%2A3%29
GCF=36