Answer:
The greatest common factor of 2 and 3 is 1. This is because 2
and 3 are prime numbers, that is, they only have themselves and one
as factors. NOTE: Any time that one of the numbers is a prime
number and the other is not a multiple of that prime number, the
greatest common factor is 1.
Another way to approach this, especially with larger numbers
(but this makes a good example) is to look at the difference
between 2 and 3, which is 1. The greatest common factor of two
numbers cannot be larger than the difference between the two
numbers and must be a factor of the difference. If the difference
is 1, the greatest common factor is 1.
Step-by-step explanation:
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