Greatest Common Factor of 6324 and 6326

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 6324, 6326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6324 and 6326 is 2.

GCF(6324,6326) = 2

GCF of 6324 and 6326

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

GCF of:
and

Greatest Common Factor of 6324 and 6326

GCF of 6324 and 6326 is 2

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

Prime Factorization of 6326


2 6326
3163 3163
1

Prime factors of 6326 are 2,3163. Prime factorization of 6326 in exponential form is:

6326 = 21×31631

∴ So by taking common prime factors GCF of 6324 and 6326 is 2

Greatest Common Factor of 6324 and 6326 by matching factors method

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

Factors of 6326

List of positive integer factors of 6326 that divides 6326 without a remainder.

1,2,3163,6326

Greatest Common Factor

We found the factors and prime factorization of 6324 and 6326. The biggest common factor number is the GCF number.
So the greatest common factor 6324 and 6326 is 2.

Also check out the Least Common Multiple of 6324 and 6326

Properties of GCF 6324 and 6326

(i) The GCF of 6324 and 6326 is associative

GCF of 6324 and 6326 = GCF of 6326 and 6324

Related Greatest Common Factor of 6324

Related Greatest Common Factor of 6326

Frequently Asked Questions on GCF of 6324 and 6326

1. What is the GCF of 6324 and 6326?

Answer: GCF of 6324 and 6326 is 2.

2. 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.

3. What are the Factors of 6326?

Answer: Factors of 6326 are 1, 2, 3163, 6326. There are 4 integers that are factors of 6326. The greatest factor of 6326 is 6326.

4. How to Find the GCF of 6324 and 6326?

Answer:

Greatest Common Factor of 6324 and 6326 = 2

Step 1: Find the prime factorization of 6324

6324 = 2 x 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 6326

6326 = 2 x 3163

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 6324 and 6326 is 2