What is the Greatest Common Factor of 26919 and 26939?

Greatest common factor (GCF) of 26919 and 26939 is 1.

GCF(26919,26939) = 1

We will now calculate the prime factors of 26919 and 26939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26919 and 26939.

How to find the GCF of 26919 and 26939?

We will first find the prime factorization of 26919 and 26939. After we will calculate the factors of 26919 and 26939 and find the biggest common factor number .

Step-1: Prime Factorization of 26919

Prime factors of 26919 are 3, 997. Prime factorization of 26919 in exponential form is:

26919 = 3³ × 997¹

Step-2: Prime Factorization of 26939

Prime factors of 26939 are 11, 31, 79. Prime factorization of 26939 in exponential form is:

26939 = 11¹ × 31¹ × 79¹

Step-3: Factors of 26919

List of positive integer factors of 26919 that divides 26919 without a remainder.

1, 3, 9, 27, 997, 2991, 8973

Step-4: Factors of 26939

List of positive integer factors of 26939 that divides 26919 without a remainder.

1, 11, 31, 79, 341, 869, 2449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26919 and 26939. The biggest common factor number is the GCF number.
So the greatest common factor 26919 and 26939 is 1.

Also check out the Least Common Multiple of 26919 and 26939