Yes.
Yes.
2 can never be a factor of an odd number and because of that it can't be a common factor of any number pair where at least one of numbers is odd.
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Assuming you mean GCF and not GFC, the anwer is yes. If the numbers are odd, neither can have an even factor and so there can be no even common factor.
Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.
The greatest common factor of two numbers has to show up on the lists of factors of both numbers.
The least (meaning lowest) common factor of any set of whole numbers is always 1. The greatest common factor of any set of whole numbers will depend on the factors of the individual whole numbers in the set.
The least common factor of two numbers is always one The greatest common factor of 36 and 45 is 9
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.