What is the Greatest Common Factor of 82336 and 82343?

Greatest common factor (GCF) of 82336 and 82343 is 1.

GCF(82336,82343) = 1

We will now calculate the prime factors of 82336 and 82343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82336 and 82343.

How to find the GCF of 82336 and 82343?

We will first find the prime factorization of 82336 and 82343. After we will calculate the factors of 82336 and 82343 and find the biggest common factor number .

Step-1: Prime Factorization of 82336

Prime factors of 82336 are 2, 31, 83. Prime factorization of 82336 in exponential form is:

82336 = 2⁵ × 31¹ × 83¹

Step-2: Prime Factorization of 82343

Prime factors of 82343 are 67, 1229. Prime factorization of 82343 in exponential form is:

82343 = 67¹ × 1229¹

Step-3: Factors of 82336

List of positive integer factors of 82336 that divides 82336 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 83, 124, 166, 248, 332, 496, 664, 992, 1328, 2573, 2656, 5146, 10292, 20584, 41168

Step-4: Factors of 82343

List of positive integer factors of 82343 that divides 82336 without a remainder.

1, 67, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82336 and 82343. The biggest common factor number is the GCF number.
So the greatest common factor 82336 and 82343 is 1.

Also check out the Least Common Multiple of 82336 and 82343