What is the Greatest Common Factor of 26908 and 26927?

Greatest common factor (GCF) of 26908 and 26927 is 1.

GCF(26908,26927) = 1

We will now calculate the prime factors of 26908 and 26927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26908 and 26927.

How to find the GCF of 26908 and 26927?

We will first find the prime factorization of 26908 and 26927. After we will calculate the factors of 26908 and 26927 and find the biggest common factor number .

Step-1: Prime Factorization of 26908

Prime factors of 26908 are 2, 7, 31. Prime factorization of 26908 in exponential form is:

26908 = 2² × 7¹ × 31²

Step-2: Prime Factorization of 26927

Prime factors of 26927 are 26927. Prime factorization of 26927 in exponential form is:

26927 = 26927¹

Step-3: Factors of 26908

List of positive integer factors of 26908 that divides 26908 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868, 961, 1922, 3844, 6727, 13454

Step-4: Factors of 26927

List of positive integer factors of 26927 that divides 26908 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26908 and 26927. The biggest common factor number is the GCF number.
So the greatest common factor 26908 and 26927 is 1.

Also check out the Least Common Multiple of 26908 and 26927