Greatest Common Factor of 6316 and 6321

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 6316, 6321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6316 and 6321 is 1.

GCF(6316,6321) = 1

GCF of 6316 and 6321

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

GCF of:
and

Greatest Common Factor of 6316 and 6321

GCF of 6316 and 6321 is 1

Prime Factorization of 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

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

∴ So by taking common prime factors GCF of 6316 and 6321 is 1

Greatest Common Factor of 6316 and 6321 by matching factors method

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

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

Greatest Common Factor

We found the factors and prime factorization of 6316 and 6321. The biggest common factor number is the GCF number.
So the greatest common factor 6316 and 6321 is 1.

Also check out the Least Common Multiple of 6316 and 6321

Properties of GCF 6316 and 6321

(i) The GCF of 6316 and 6321 is associative

GCF of 6316 and 6321 = GCF of 6321 and 6316

Related Greatest Common Factor of 6316

Related Greatest Common Factor of 6321

Frequently Asked Questions on GCF of 6316 and 6321

1. What is the GCF of 6316 and 6321?

Answer: GCF of 6316 and 6321 is 1.

2. What are the Factors of 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

3. 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.

4. How to Find the GCF of 6316 and 6321?

Answer:

Greatest Common Factor of 6316 and 6321 = 1

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

Step 2: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

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 6316 and 6321 is 1