What is the Greatest Common Factor of 26 and 39?

Greatest common factor (GCF) of 26 and 39 is 13.

GCF(26,39) = 13

We will now calculate the prime factors of 26 and 39, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26 and 39.

How to find the GCF of 26 and 39?

We will first find the prime factorization of 26 and 39. After we will calculate the factors of 26 and 39 and find the biggest common factor number .

Step-1: Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of 26 in exponential form is:

26 = 2¹ × 13¹

Step-2: Prime Factorization of 39

Prime factors of 39 are 3, 13. Prime factorization of 39 in exponential form is:

39 = 3¹ × 13¹

Step-3: Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13

Step-4: Factors of 39

List of positive integer factors of 39 that divides 26 without a remainder.

1, 3, 13

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26 and 39. The biggest common factor number is the GCF number.
So the greatest common factor 26 and 39 is 13.

Also check out the Least Common Multiple of 26 and 39