What is the Greatest Common Factor of 26522 and 26539?

Greatest common factor (GCF) of 26522 and 26539 is 1.

GCF(26522,26539) = 1

We will now calculate the prime factors of 26522 and 26539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26522 and 26539.

How to find the GCF of 26522 and 26539?

We will first find the prime factorization of 26522 and 26539. After we will calculate the factors of 26522 and 26539 and find the biggest common factor number .

Step-1: Prime Factorization of 26522

Prime factors of 26522 are 2, 89, 149. Prime factorization of 26522 in exponential form is:

26522 = 2¹ × 89¹ × 149¹

Step-2: Prime Factorization of 26539

Prime factors of 26539 are 26539. Prime factorization of 26539 in exponential form is:

26539 = 26539¹

Step-3: Factors of 26522

List of positive integer factors of 26522 that divides 26522 without a remainder.

1, 2, 89, 149, 178, 298, 13261

Step-4: Factors of 26539

List of positive integer factors of 26539 that divides 26522 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26522 and 26539. The biggest common factor number is the GCF number.
So the greatest common factor 26522 and 26539 is 1.

Also check out the Least Common Multiple of 26522 and 26539