Greatest Common Factor of 6315 and 6322

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 6315, 6322 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6315 and 6322 is 1.

GCF(6315,6322) = 1

GCF of 6315 and 6322

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

GCF of:
and

Greatest Common Factor of 6315 and 6322

GCF of 6315 and 6322 is 1

Prime Factorization of 6315


3 6315
5 2105
421 421
1

Prime factors of 6315 are 3,5,421. Prime factorization of 6315 in exponential form is:

6315 = 31×51×4211

Prime Factorization of 6322


2 6322
29 3161
109 109
1

Prime factors of 6322 are 2,29,109. Prime factorization of 6322 in exponential form is:

6322 = 21×291×1091

∴ So by taking common prime factors GCF of 6315 and 6322 is 1

Greatest Common Factor of 6315 and 6322 by matching factors method

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1,3,5,15,421,1263,2105,6315

Factors of 6322

List of positive integer factors of 6322 that divides 6322 without a remainder.

1,2,29,58,109,218,3161,6322

Greatest Common Factor

We found the factors and prime factorization of 6315 and 6322. The biggest common factor number is the GCF number.
So the greatest common factor 6315 and 6322 is 1.

Also check out the Least Common Multiple of 6315 and 6322

Properties of GCF 6315 and 6322

(i) The GCF of 6315 and 6322 is associative

GCF of 6315 and 6322 = GCF of 6322 and 6315

Related Greatest Common Factor of 6315

Related Greatest Common Factor of 6322

Frequently Asked Questions on GCF of 6315 and 6322

1. What is the GCF of 6315 and 6322?

Answer: GCF of 6315 and 6322 is 1.

2. What are the Factors of 6315?

Answer: Factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315. There are 8 integers that are factors of 6315. The greatest factor of 6315 is 6315.

3. What are the Factors of 6322?

Answer: Factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322. There are 8 integers that are factors of 6322. The greatest factor of 6322 is 6322.

4. How to Find the GCF of 6315 and 6322?

Answer:

Greatest Common Factor of 6315 and 6322 = 1

Step 1: Find the prime factorization of 6315

6315 = 3 x 5 x 421

Step 2: Find the prime factorization of 6322

6322 = 2 x 29 x 109

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 6315 and 6322 is 1