What is the Greatest Common Factor of 26909 and 26921?

Greatest common factor (GCF) of 26909 and 26921 is 1.

GCF(26909,26921) = 1

We will now calculate the prime factors of 26909 and 26921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26909 and 26921.

How to find the GCF of 26909 and 26921?

We will first find the prime factorization of 26909 and 26921. After we will calculate the factors of 26909 and 26921 and find the biggest common factor number .

Step-1: Prime Factorization of 26909

Prime factors of 26909 are 71, 379. Prime factorization of 26909 in exponential form is:

26909 = 71¹ × 379¹

Step-2: Prime Factorization of 26921

Prime factors of 26921 are 26921. Prime factorization of 26921 in exponential form is:

26921 = 26921¹

Step-3: Factors of 26909

List of positive integer factors of 26909 that divides 26909 without a remainder.

1, 71, 379

Step-4: Factors of 26921

List of positive integer factors of 26921 that divides 26909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26909 and 26921. The biggest common factor number is the GCF number.
So the greatest common factor 26909 and 26921 is 1.

Also check out the Least Common Multiple of 26909 and 26921