Greatest Common Factor of 6344 and 6352

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 6344, 6352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6344 and 6352 is 8.

GCF(6344,6352) = 8

GCF of 6344 and 6352

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

GCF of:
and

Greatest Common Factor of 6344 and 6352

GCF of 6344 and 6352 is 8

Prime Factorization of 6344


2 6344
2 3172
2 1586
13 793
61 61
1

Prime factors of 6344 are 2,13,61. Prime factorization of 6344 in exponential form is:

6344 = 23×131×611

Prime Factorization of 6352


2 6352
2 3176
2 1588
2 794
397 397
1

Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:

6352 = 24×3971

∴ So by taking common prime factors GCF of 6344 and 6352 is 8

Greatest Common Factor of 6344 and 6352 by matching factors method

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Factors of 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1,2,4,8,16,397,794,1588,3176,6352

Greatest Common Factor

We found the factors and prime factorization of 6344 and 6352. The biggest common factor number is the GCF number.
So the greatest common factor 6344 and 6352 is 8.

Also check out the Least Common Multiple of 6344 and 6352

Properties of GCF 6344 and 6352

(i) The GCF of 6344 and 6352 is associative

GCF of 6344 and 6352 = GCF of 6352 and 6344

Related Greatest Common Factor of 6344

Related Greatest Common Factor of 6352

Frequently Asked Questions on GCF of 6344 and 6352

1. What is the GCF of 6344 and 6352?

Answer: GCF of 6344 and 6352 is 8.

2. What are the Factors of 6344?

Answer: Factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344. There are 16 integers that are factors of 6344. The greatest factor of 6344 is 6344.

3. What are the Factors of 6352?

Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.

4. How to Find the GCF of 6344 and 6352?

Answer:

Greatest Common Factor of 6344 and 6352 = 8

Step 1: Find the prime factorization of 6344

6344 = 2 x 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 6352

6352 = 2 x 2 x 2 x 2 x 397

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6344 and 6352 is 8