Greatest Common Factor of 8364 and 8368

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, 8368 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8364 and 8368 is 4.

GCF(8364,8368) = 4

GCF of 8364 and 8368

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

GCF of:
and

Greatest Common Factor of 8364 and 8368

GCF of 8364 and 8368 is 4

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 8368


2 8368
2 4184
2 2092
2 1046
523 523
1

Prime factors of 8368 are 2,523. Prime factorization of 8368 in exponential form is:

8368 = 24×5231

∴ So by taking common prime factors GCF of 8364 and 8368 is 4

Greatest Common Factor of 8364 and 8368 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 8368

List of positive integer factors of 8368 that divides 8368 without a remainder.

1,2,4,8,16,523,1046,2092,4184,8368

Greatest Common Factor

We found the factors and prime factorization of 8364 and 8368. The biggest common factor number is the GCF number.
So the greatest common factor 8364 and 8368 is 4.

Also check out the Least Common Multiple of 8364 and 8368

Properties of GCF 8364 and 8368

(i) The GCF of 8364 and 8368 is associative

GCF of 8364 and 8368 = GCF of 8368 and 8364

Related Greatest Common Factor of 8364

Related Greatest Common Factor of 8368

Frequently Asked Questions on GCF of 8364 and 8368

1. What is the GCF of 8364 and 8368?

Answer: GCF of 8364 and 8368 is 4.

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 8368?

Answer: Factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368. There are 10 integers that are factors of 8368. The greatest factor of 8368 is 8368.

4. How to Find the GCF of 8364 and 8368?

Answer:

Greatest Common Factor of 8364 and 8368 = 4

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 8368

8368 = 2 x 2 x 2 x 2 x 523

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8364 and 8368 is 4