Greatest Common Factor of 8337 and 8344

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 8337, 8344 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8337 and 8344 is 7.

GCF(8337,8344) = 7

GCF of 8337 and 8344

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

GCF of:
and

Greatest Common Factor of 8337 and 8344

GCF of 8337 and 8344 is 7

Prime Factorization of 8337


3 8337
7 2779
397 397
1

Prime factors of 8337 are 3,7,397. Prime factorization of 8337 in exponential form is:

8337 = 31×71×3971

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2,7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

∴ So by taking common prime factors GCF of 8337 and 8344 is 7

Greatest Common Factor of 8337 and 8344 by matching factors method

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Greatest Common Factor

We found the factors and prime factorization of 8337 and 8344. The biggest common factor number is the GCF number.
So the greatest common factor 8337 and 8344 is 7.

Also check out the Least Common Multiple of 8337 and 8344

Properties of GCF 8337 and 8344

(i) The GCF of 8337 and 8344 is associative

GCF of 8337 and 8344 = GCF of 8344 and 8337

Related Greatest Common Factor of 8337

Related Greatest Common Factor of 8344

Frequently Asked Questions on GCF of 8337 and 8344

1. What is the GCF of 8337 and 8344?

Answer: GCF of 8337 and 8344 is 7.

2. What are the Factors of 8337?

Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.

3. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

4. How to Find the GCF of 8337 and 8344?

Answer:

Greatest Common Factor of 8337 and 8344 = 7

Step 1: Find the prime factorization of 8337

8337 = 3 x 7 x 397

Step 2: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8337 and 8344 is 7