Greatest Common Factor of 6321 and 6328

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 6321, 6328 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6321 and 6328 is 7.

GCF(6321,6328) = 7

GCF of 6321 and 6328

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

GCF of:
and

Greatest Common Factor of 6321 and 6328

GCF of 6321 and 6328 is 7

Prime Factorization of 6321


3 6321
7 2107
7 301
43 43
1

Prime factors of 6321 are 3,7,43. Prime factorization of 6321 in exponential form is:

6321 = 31×72×431

Prime Factorization of 6328


2 6328
2 3164
2 1582
7 791
113 113
1

Prime factors of 6328 are 2,7,113. Prime factorization of 6328 in exponential form is:

6328 = 23×71×1131

∴ So by taking common prime factors GCF of 6321 and 6328 is 7

Greatest Common Factor of 6321 and 6328 by matching factors method

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1,3,7,21,43,49,129,147,301,903,2107,6321

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Greatest Common Factor

We found the factors and prime factorization of 6321 and 6328. The biggest common factor number is the GCF number.
So the greatest common factor 6321 and 6328 is 7.

Also check out the Least Common Multiple of 6321 and 6328

Properties of GCF 6321 and 6328

(i) The GCF of 6321 and 6328 is associative

GCF of 6321 and 6328 = GCF of 6328 and 6321

Related Greatest Common Factor of 6321

Related Greatest Common Factor of 6328

Frequently Asked Questions on GCF of 6321 and 6328

1. What is the GCF of 6321 and 6328?

Answer: GCF of 6321 and 6328 is 7.

2. What are the Factors of 6321?

Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.

3. What are the Factors of 6328?

Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.

4. How to Find the GCF of 6321 and 6328?

Answer:

Greatest Common Factor of 6321 and 6328 = 7

Step 1: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

Step 2: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

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 6321 and 6328 is 7