What is the Greatest Common Factor of 26089 and 26107?

Greatest common factor (GCF) of 26089 and 26107 is 1.

GCF(26089,26107) = 1

We will now calculate the prime factors of 26089 and 26107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26089 and 26107.

How to find the GCF of 26089 and 26107?

We will first find the prime factorization of 26089 and 26107. After we will calculate the factors of 26089 and 26107 and find the biggest common factor number .

Step-1: Prime Factorization of 26089

Prime factors of 26089 are 7, 3727. Prime factorization of 26089 in exponential form is:

26089 = 7¹ × 3727¹

Step-2: Prime Factorization of 26107

Prime factors of 26107 are 26107. Prime factorization of 26107 in exponential form is:

26107 = 26107¹

Step-3: Factors of 26089

List of positive integer factors of 26089 that divides 26089 without a remainder.

1, 7, 3727

Step-4: Factors of 26107

List of positive integer factors of 26107 that divides 26089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26089 and 26107. The biggest common factor number is the GCF number.
So the greatest common factor 26089 and 26107 is 1.

Also check out the Least Common Multiple of 26089 and 26107