What is the Greatest Common Factor of 26801 and 26808?

Greatest common factor (GCF) of 26801 and 26808 is 1.

GCF(26801,26808) = 1

We will now calculate the prime factors of 26801 and 26808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26801 and 26808.

How to find the GCF of 26801 and 26808?

We will first find the prime factorization of 26801 and 26808. After we will calculate the factors of 26801 and 26808 and find the biggest common factor number .

Step-1: Prime Factorization of 26801

Prime factors of 26801 are 26801. Prime factorization of 26801 in exponential form is:

26801 = 26801¹

Step-2: Prime Factorization of 26808

Prime factors of 26808 are 2, 3, 1117. Prime factorization of 26808 in exponential form is:

26808 = 2³ × 3¹ × 1117¹

Step-3: Factors of 26801

List of positive integer factors of 26801 that divides 26801 without a remainder.

Step-4: Factors of 26808

List of positive integer factors of 26808 that divides 26801 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1117, 2234, 3351, 4468, 6702, 8936, 13404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26801 and 26808. The biggest common factor number is the GCF number.
So the greatest common factor 26801 and 26808 is 1.

Also check out the Least Common Multiple of 26801 and 26808