Greatest Common Factor of 6322 and 6324

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 6322, 6324 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6322 and 6324 is 2.

GCF(6322,6324) = 2

GCF of 6322 and 6324

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

GCF of:
and

Greatest Common Factor of 6322 and 6324

GCF of 6322 and 6324 is 2

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

Prime Factorization of 6324


2 6324
2 3162
3 1581
17 527
31 31
1

Prime factors of 6324 are 2,3,17,31. Prime factorization of 6324 in exponential form is:

6324 = 22×31×171×311

∴ So by taking common prime factors GCF of 6322 and 6324 is 2

Greatest Common Factor of 6322 and 6324 by matching factors method

Factors of 6322

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

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

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Greatest Common Factor

We found the factors and prime factorization of 6322 and 6324. The biggest common factor number is the GCF number.
So the greatest common factor 6322 and 6324 is 2.

Also check out the Least Common Multiple of 6322 and 6324

Properties of GCF 6322 and 6324

(i) The GCF of 6322 and 6324 is associative

GCF of 6322 and 6324 = GCF of 6324 and 6322

Related Greatest Common Factor of 6322

Related Greatest Common Factor of 6324

Frequently Asked Questions on GCF of 6322 and 6324

1. What is the GCF of 6322 and 6324?

Answer: GCF of 6322 and 6324 is 2.

2. 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.

3. What are the Factors of 6324?

Answer: Factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324. There are 24 integers that are factors of 6324. The greatest factor of 6324 is 6324.

4. How to Find the GCF of 6322 and 6324?

Answer:

Greatest Common Factor of 6322 and 6324 = 2

Step 1: Find the prime factorization of 6322

6322 = 2 x 29 x 109

Step 2: Find the prime factorization of 6324

6324 = 2 x 2 x 3 x 17 x 31

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 6322 and 6324 is 2