What is the Greatest Common Factor of 26677 and 26689?

Greatest common factor (GCF) of 26677 and 26689 is 1.

GCF(26677,26689) = 1

We will now calculate the prime factors of 26677 and 26689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26677 and 26689.

How to find the GCF of 26677 and 26689?

We will first find the prime factorization of 26677 and 26689. After we will calculate the factors of 26677 and 26689 and find the biggest common factor number .

Step-1: Prime Factorization of 26677

Prime factors of 26677 are 7, 37, 103. Prime factorization of 26677 in exponential form is:

26677 = 7¹ × 37¹ × 103¹

Step-2: Prime Factorization of 26689

Prime factors of 26689 are 13, 2053. Prime factorization of 26689 in exponential form is:

26689 = 13¹ × 2053¹

Step-3: Factors of 26677

List of positive integer factors of 26677 that divides 26677 without a remainder.

1, 7, 37, 103, 259, 721, 3811

Step-4: Factors of 26689

List of positive integer factors of 26689 that divides 26677 without a remainder.

1, 13, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26677 and 26689. The biggest common factor number is the GCF number.
So the greatest common factor 26677 and 26689 is 1.

Also check out the Least Common Multiple of 26677 and 26689