What is the Greatest Common Factor of 82509 and 82522?

Greatest common factor (GCF) of 82509 and 82522 is 1.

GCF(82509,82522) = 1

We will now calculate the prime factors of 82509 and 82522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82509 and 82522.

How to find the GCF of 82509 and 82522?

We will first find the prime factorization of 82509 and 82522. After we will calculate the factors of 82509 and 82522 and find the biggest common factor number .

Step-1: Prime Factorization of 82509

Prime factors of 82509 are 3, 7, 3929. Prime factorization of 82509 in exponential form is:

82509 = 3¹ × 7¹ × 3929¹

Step-2: Prime Factorization of 82522

Prime factors of 82522 are 2, 11, 31. Prime factorization of 82522 in exponential form is:

82522 = 2¹ × 11³ × 31¹

Step-3: Factors of 82509

List of positive integer factors of 82509 that divides 82509 without a remainder.

1, 3, 7, 21, 3929, 11787, 27503

Step-4: Factors of 82522

List of positive integer factors of 82522 that divides 82509 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 1331, 2662, 3751, 7502, 41261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82509 and 82522. The biggest common factor number is the GCF number.
So the greatest common factor 82509 and 82522 is 1.

Also check out the Least Common Multiple of 82509 and 82522