Greatest Common Factor of 6316 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 6316, 6322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6316 and 6322 is 2.

GCF(6316,6322) = 2

GCF of 6316 and 6322

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

GCF of:
and

Greatest Common Factor of 6316 and 6322

GCF of 6316 and 6322 is 2

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 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 6316 and 6322 is 2

Greatest Common Factor of 6316 and 6322 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 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 6316 and 6322. The biggest common factor number is the GCF number.
So the greatest common factor 6316 and 6322 is 2.

Also check out the Least Common Multiple of 6316 and 6322

Properties of GCF 6316 and 6322

(i) The GCF of 6316 and 6322 is associative

GCF of 6316 and 6322 = GCF of 6322 and 6316

Related Greatest Common Factor of 6316

Related Greatest Common Factor of 6322

Frequently Asked Questions on GCF of 6316 and 6322

1. What is the GCF of 6316 and 6322?

Answer: GCF of 6316 and 6322 is 2.

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 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 6316 and 6322?

Answer:

Greatest Common Factor of 6316 and 6322 = 2

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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 = 2

Step 4: Therefore, the greatest common factor of 6316 and 6322 is 2