Greatest Common Factor of 82377 and 82381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 82377, 82381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82377 and 82381 is 1.

GCF(82377,82381) = 1

GCF of 82377 and 82381

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 82377 and 82381

GCF of 82377 and 82381 is 1

Prime Factorization of 82377


3 82377
3 27459
3 9153
3 3051
3 1017
3 339
113 113
1

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

82377 = 36×1131

Prime Factorization of 82381


13 82381
6337 6337
1

Prime factors of 82381 are 13,6337. Prime factorization of 82381 in exponential form is:

82381 = 131×63371

∴ So by taking common prime factors GCF of 82377 and 82381 is 1

Greatest Common Factor of 82377 and 82381 by matching factors method

Factors of 82377

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

1,3,9,27,81,113,243,339,729,1017,3051,9153,27459,82377

Factors of 82381

List of positive integer factors of 82381 that divides 82381 without a remainder.

1,13,6337,82381

Greatest Common Factor

We found the factors and prime factorization of 82377 and 82381. The biggest common factor number is the GCF number.
So the greatest common factor 82377 and 82381 is 1.

Also check out the Least Common Multiple of 82377 and 82381

Properties of GCF 82377 and 82381

(i) The GCF of 82377 and 82381 is associative

GCF of 82377 and 82381 = GCF of 82381 and 82377

Related Greatest Common Factor of 82377

Related Greatest Common Factor of 82381

Frequently Asked Questions on GCF of 82377 and 82381

1. What is the GCF of 82377 and 82381?

Answer: GCF of 82377 and 82381 is 1.

2. What are the Factors of 82377?

Answer: Factors of 82377 are 1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459, 82377. There are 14 integers that are factors of 82377. The greatest factor of 82377 is 82377.

3. What are the Factors of 82381?

Answer: Factors of 82381 are 1, 13, 6337, 82381. There are 4 integers that are factors of 82381. The greatest factor of 82381 is 82381.

4. How to Find the GCF of 82377 and 82381?

Answer:

Greatest Common Factor of 82377 and 82381 = 1

Step 1: Find the prime factorization of 82377

82377 = 3 x 3 x 3 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 82381

82381 = 13 x 6337

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 82377 and 82381 is 1