What is the Greatest Common Factor of 82522 and 82534?

Greatest common factor (GCF) of 82522 and 82534 is 2.

GCF(82522,82534) = 2

We will now calculate the prime factors of 82522 and 82534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82522 and 82534.

How to find the GCF of 82522 and 82534?

We will first find the prime factorization of 82522 and 82534. After we will calculate the factors of 82522 and 82534 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82534

Prime factors of 82534 are 2, 29, 1423. Prime factorization of 82534 in exponential form is:

82534 = 2¹ × 29¹ × 1423¹

Step-3: Factors of 82522

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

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

Step-4: Factors of 82534

List of positive integer factors of 82534 that divides 82522 without a remainder.

1, 2, 29, 58, 1423, 2846, 41267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82522 and 82534. The biggest common factor number is the GCF number.
So the greatest common factor 82522 and 82534 is 2.

Also check out the Least Common Multiple of 82522 and 82534