The factors of 39 are -
1, 3, 13, and 39
So, each can be divided evenly into 39. The prime factors are 3 and 13.
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The number that divides 26 and 39 is 13.
13.
There can be no greatest common denominator. Suppose x is the greatest common denominator. That requires that 39 divides x, 26 divides x and x is the greatest such number. But 39 will divide 2x and 26 will divide 2x and 2x is greater than x. So x could not have been a GCD.
The divisor is the number that divides
Divisibility is when a number divides into another number with no remainder.