What is the Greatest Common Factor of 82334 and 82340?

Greatest common factor (GCF) of 82334 and 82340 is 2.

GCF(82334,82340) = 2

We will now calculate the prime factors of 82334 and 82340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82334 and 82340.

How to find the GCF of 82334 and 82340?

We will first find the prime factorization of 82334 and 82340. After we will calculate the factors of 82334 and 82340 and find the biggest common factor number .

Step-1: Prime Factorization of 82334

Prime factors of 82334 are 2, 7, 5881. Prime factorization of 82334 in exponential form is:

82334 = 2¹ × 7¹ × 5881¹

Step-2: Prime Factorization of 82340

Prime factors of 82340 are 2, 5, 23, 179. Prime factorization of 82340 in exponential form is:

82340 = 2² × 5¹ × 23¹ × 179¹

Step-3: Factors of 82334

List of positive integer factors of 82334 that divides 82334 without a remainder.

1, 2, 7, 14, 5881, 11762, 41167

Step-4: Factors of 82340

List of positive integer factors of 82340 that divides 82334 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82334 and 82340. The biggest common factor number is the GCF number.
So the greatest common factor 82334 and 82340 is 2.

Also check out the Least Common Multiple of 82334 and 82340