The greatest common factor is 18.
An easy way to figure it out is to simplify them as far as you can.
126 = 63*2 = 21*3*2 = 7*3*3*2
180 = 90*2 = 45*2*2 = 15*3*2*2 = 5*3*3*2*2
And see what they have in common ~ 2, 3, 3
Multiply these and you've got you answer. 2*3*3=18
Or, you can go to http://www.mathsisfun.com/greatest-common-factor-tool.html and type in the numbers.
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It is: 18
Least Common Multiple (LCM) for 126 180 is 1,260.
The Greatest Common Divisor (GCD) for 126 180 is 18
The common factor of 125 and 126 is 1.
The greatest common factor is 63