What is the Greatest Common Factor of 82522 and 82540?

Greatest common factor (GCF) of 82522 and 82540 is 2.

GCF(82522,82540) = 2

We will now calculate the prime factors of 82522 and 82540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82522 and 82540.

How to find the GCF of 82522 and 82540?

We will first find the prime factorization of 82522 and 82540. After we will calculate the factors of 82522 and 82540 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 82540

Prime factors of 82540 are 2, 5, 4127. Prime factorization of 82540 in exponential form is:

82540 = 2² × 5¹ × 4127¹

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 82540

List of positive integer factors of 82540 that divides 82522 without a remainder.

1, 2, 4, 5, 10, 20, 4127, 8254, 16508, 20635, 41270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82522 and 82540. The biggest common factor number is the GCF number.
So the greatest common factor 82522 and 82540 is 2.

Also check out the Least Common Multiple of 82522 and 82540