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All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.
Answer: None, it is impossible. No single number has a greatest common factor. A "common factor" is a factor that two or more numbers have in common. The "greatest common factor" is the largest factor that two or more numbers have in common.
common factor
The least common factor is the smallest factor that two or more numbers have in common. Thus, the least common factor of two numbers is 1. The least common factor of 48 and 116 is 1.
You need at least two factor trees to find a GCF.