What is the Greatest Common Factor of 82377 and 82391?

Greatest common factor (GCF) of 82377 and 82391 is 1.

GCF(82377,82391) = 1

We will now calculate the prime factors of 82377 and 82391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82377 and 82391.

How to find the GCF of 82377 and 82391?

We will first find the prime factorization of 82377 and 82391. After we will calculate the factors of 82377 and 82391 and find the biggest common factor number .

Step-1: Prime Factorization of 82377

Prime factors of 82377 are 3, 113. Prime factorization of 82377 in exponential form is:

82377 = 3⁶ × 113¹

Step-2: Prime Factorization of 82391

Prime factors of 82391 are 47, 1753. Prime factorization of 82391 in exponential form is:

82391 = 47¹ × 1753¹

Step-3: Factors of 82377

List of positive integer factors of 82377 that divides 82377 without a remainder.

1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459

Step-4: Factors of 82391

List of positive integer factors of 82391 that divides 82377 without a remainder.

1, 47, 1753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82377 and 82391. The biggest common factor number is the GCF number.
So the greatest common factor 82377 and 82391 is 1.

Also check out the Least Common Multiple of 82377 and 82391