The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. For them to be common, they need to be compared to another set of factors.
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The greatest common factor of 144 , 128 = 16
The greatest common factor of 108 and 144 is 36.
Greatest common factor of 144 and 216 is 72.
There cannot be a greatest common factor of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
The Greatest Common Factor (GCF) is: 9