What is the Greatest Common Factor of 82346 and 82364?

Greatest common factor (GCF) of 82346 and 82364 is 2.

GCF(82346,82364) = 2

We will now calculate the prime factors of 82346 and 82364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82346 and 82364.

How to find the GCF of 82346 and 82364?

We will first find the prime factorization of 82346 and 82364. After we will calculate the factors of 82346 and 82364 and find the biggest common factor number .

Step-1: Prime Factorization of 82346

Prime factors of 82346 are 2, 11, 19, 197. Prime factorization of 82346 in exponential form is:

82346 = 2¹ × 11¹ × 19¹ × 197¹

Step-2: Prime Factorization of 82364

Prime factors of 82364 are 2, 59, 349. Prime factorization of 82364 in exponential form is:

82364 = 2² × 59¹ × 349¹

Step-3: Factors of 82346

List of positive integer factors of 82346 that divides 82346 without a remainder.

1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173

Step-4: Factors of 82364

List of positive integer factors of 82364 that divides 82346 without a remainder.

1, 2, 4, 59, 118, 236, 349, 698, 1396, 20591, 41182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82346 and 82364. The biggest common factor number is the GCF number.
So the greatest common factor 82346 and 82364 is 2.

Also check out the Least Common Multiple of 82346 and 82364