Greatest Common Factor of 4320 and 4326

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 4320, 4326 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4320 and 4326 is 6.

GCF(4320,4326) = 6

GCF of 4320 and 4326

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

GCF of:
and

Greatest Common Factor of 4320 and 4326

GCF of 4320 and 4326 is 6

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2,3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Prime Factorization of 4326


2 4326
3 2163
7 721
103 103
1

Prime factors of 4326 are 2,3,7,103. Prime factorization of 4326 in exponential form is:

4326 = 21×31×71×1031

∴ So by taking common prime factors GCF of 4320 and 4326 is 6

Greatest Common Factor of 4320 and 4326 by matching factors method

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Greatest Common Factor

We found the factors and prime factorization of 4320 and 4326. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4326 is 6.

Also check out the Least Common Multiple of 4320 and 4326

Properties of GCF 4320 and 4326

(i) The GCF of 4320 and 4326 is associative

GCF of 4320 and 4326 = GCF of 4326 and 4320

Related Greatest Common Factor of 4320

Related Greatest Common Factor of 4326

Frequently Asked Questions on GCF of 4320 and 4326

1. What is the GCF of 4320 and 4326?

Answer: GCF of 4320 and 4326 is 6.

2. What are the Factors of 4320?

Answer: Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

3. What are the Factors of 4326?

Answer: Factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326. There are 16 integers that are factors of 4326. The greatest factor of 4326 is 4326.

4. How to Find the GCF of 4320 and 4326?

Answer:

Greatest Common Factor of 4320 and 4326 = 6

Step 1: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4326

4326 = 2 x 3 x 7 x 103

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4320 and 4326 is 6