What is the Greatest Common Factor of 26509 and 26522?

Greatest common factor (GCF) of 26509 and 26522 is 1.

GCF(26509,26522) = 1

We will now calculate the prime factors of 26509 and 26522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26509 and 26522.

How to find the GCF of 26509 and 26522?

We will first find the prime factorization of 26509 and 26522. After we will calculate the factors of 26509 and 26522 and find the biggest common factor number .

Step-1: Prime Factorization of 26509

Prime factors of 26509 are 7, 541. Prime factorization of 26509 in exponential form is:

26509 = 7² × 541¹

Step-2: 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-3: Factors of 26509

List of positive integer factors of 26509 that divides 26509 without a remainder.

1, 7, 49, 541, 3787

Step-4: Factors of 26522

List of positive integer factors of 26522 that divides 26509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26509 and 26522. The biggest common factor number is the GCF number.
So the greatest common factor 26509 and 26522 is 1.

Also check out the Least Common Multiple of 26509 and 26522