Greatest Common Factor of 6320 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 6320, 6324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6320 and 6324 is 4.

GCF(6320,6324) = 4

GCF of 6320 and 6324

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

GCF of:
and

Greatest Common Factor of 6320 and 6324

GCF of 6320 and 6324 is 4

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2,5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

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 6320 and 6324 is 4

Greatest Common Factor of 6320 and 6324 by matching factors method

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

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 6320 and 6324. The biggest common factor number is the GCF number.
So the greatest common factor 6320 and 6324 is 4.

Also check out the Least Common Multiple of 6320 and 6324

Properties of GCF 6320 and 6324

(i) The GCF of 6320 and 6324 is associative

GCF of 6320 and 6324 = GCF of 6324 and 6320

Related Greatest Common Factor of 6320

Related Greatest Common Factor of 6324

Frequently Asked Questions on GCF of 6320 and 6324

1. What is the GCF of 6320 and 6324?

Answer: GCF of 6320 and 6324 is 4.

2. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

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 6320 and 6324?

Answer:

Greatest Common Factor of 6320 and 6324 = 4

Step 1: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 6320 and 6324 is 4