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61 and 67 are the two prime numbers between 60 and 70.
There are two prime numbers between 60 and 70.
Between 60 and 70 the composite numbers are: 62, 63, 64, 65, 66, 68, 69. 60 and 70 are also composite.
61 and 67 are the only prime numbers between 60 and 70.
The greatest common factor of the numbers 120, 180 and 240 is 60. The GCF can't be any larger than the smallest difference between the numbers, which is 60. It is easy to see that 60 is a factor of each of the numbers in the set, so it is the GCF.