Greatest Common Factor of 8364 and 8371

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 8364, 8371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8364 and 8371 is 1.

GCF(8364,8371) = 1

GCF of 8364 and 8371

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

GCF of:
and

Greatest Common Factor of 8364 and 8371

GCF of 8364 and 8371 is 1

Prime Factorization of 8364


2 8364
2 4182
3 2091
17 697
41 41
1

Prime factors of 8364 are 2,3,17,41. Prime factorization of 8364 in exponential form is:

8364 = 22×31×171×411

Prime Factorization of 8371


11 8371
761 761
1

Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:

8371 = 111×7611

∴ So by taking common prime factors GCF of 8364 and 8371 is 1

Greatest Common Factor of 8364 and 8371 by matching factors method

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1,11,761,8371

Greatest Common Factor

We found the factors and prime factorization of 8364 and 8371. The biggest common factor number is the GCF number.
So the greatest common factor 8364 and 8371 is 1.

Also check out the Least Common Multiple of 8364 and 8371

Properties of GCF 8364 and 8371

(i) The GCF of 8364 and 8371 is associative

GCF of 8364 and 8371 = GCF of 8371 and 8364

Related Greatest Common Factor of 8364

Related Greatest Common Factor of 8371

Frequently Asked Questions on GCF of 8364 and 8371

1. What is the GCF of 8364 and 8371?

Answer: GCF of 8364 and 8371 is 1.

2. What are the Factors of 8364?

Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.

3. What are the Factors of 8371?

Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.

4. How to Find the GCF of 8364 and 8371?

Answer:

Greatest Common Factor of 8364 and 8371 = 1

Step 1: Find the prime factorization of 8364

8364 = 2 x 2 x 3 x 17 x 41

Step 2: Find the prime factorization of 8371

8371 = 11 x 761

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 8364 and 8371 is 1