What is the Greatest Common Factor of 26059 and 26077?

Greatest common factor (GCF) of 26059 and 26077 is 1.

GCF(26059,26077) = 1

We will now calculate the prime factors of 26059 and 26077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26059 and 26077.

How to find the GCF of 26059 and 26077?

We will first find the prime factorization of 26059 and 26077. After we will calculate the factors of 26059 and 26077 and find the biggest common factor number .

Step-1: Prime Factorization of 26059

Prime factors of 26059 are 11, 23, 103. Prime factorization of 26059 in exponential form is:

26059 = 11¹ × 23¹ × 103¹

Step-2: Prime Factorization of 26077

Prime factors of 26077 are 89, 293. Prime factorization of 26077 in exponential form is:

26077 = 89¹ × 293¹

Step-3: Factors of 26059

List of positive integer factors of 26059 that divides 26059 without a remainder.

1, 11, 23, 103, 253, 1133, 2369

Step-4: Factors of 26077

List of positive integer factors of 26077 that divides 26059 without a remainder.

1, 89, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26059 and 26077. The biggest common factor number is the GCF number.
So the greatest common factor 26059 and 26077 is 1.

Also check out the Least Common Multiple of 26059 and 26077