What is the Greatest Common Factor of 82334 and 82341?

Greatest common factor (GCF) of 82334 and 82341 is 7.

GCF(82334,82341) = 7

We will now calculate the prime factors of 82334 and 82341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82334 and 82341.

How to find the GCF of 82334 and 82341?

We will first find the prime factorization of 82334 and 82341. After we will calculate the factors of 82334 and 82341 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 82341

Prime factors of 82341 are 3, 7, 1307. Prime factorization of 82341 in exponential form is:

82341 = 3² × 7¹ × 1307¹

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 82341

List of positive integer factors of 82341 that divides 82334 without a remainder.

1, 3, 7, 9, 21, 63, 1307, 3921, 9149, 11763, 27447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82334 and 82341. The biggest common factor number is the GCF number.
So the greatest common factor 82334 and 82341 is 7.

Also check out the Least Common Multiple of 82334 and 82341