What is the Greatest Common Factor of 82340 and 82358?

Greatest common factor (GCF) of 82340 and 82358 is 2.

GCF(82340,82358) = 2

We will now calculate the prime factors of 82340 and 82358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82340 and 82358.

How to find the GCF of 82340 and 82358?

We will first find the prime factorization of 82340 and 82358. After we will calculate the factors of 82340 and 82358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82358

Prime factors of 82358 are 2, 41179. Prime factorization of 82358 in exponential form is:

82358 = 2¹ × 41179¹

Step-3: Factors of 82340

List of positive integer factors of 82340 that divides 82340 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

Step-4: Factors of 82358

List of positive integer factors of 82358 that divides 82340 without a remainder.

1, 2, 41179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82340 and 82358. The biggest common factor number is the GCF number.
So the greatest common factor 82340 and 82358 is 2.

Also check out the Least Common Multiple of 82340 and 82358