Greatest Common Factor of 31320 and 31326

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 31320, 31326 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31320 and 31326 is 6.

GCF(31320,31326) = 6

GCF of 31320 and 31326

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

GCF of:
and

Greatest Common Factor of 31320 and 31326

GCF of 31320 and 31326 is 6

Prime Factorization of 31320


2 31320
2 15660
2 7830
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 31320 are 2,3,5,29. Prime factorization of 31320 in exponential form is:

31320 = 23×33×51×291

Prime Factorization of 31326


2 31326
3 15663
23 5221
227 227
1

Prime factors of 31326 are 2,3,23,227. Prime factorization of 31326 in exponential form is:

31326 = 21×31×231×2271

∴ So by taking common prime factors GCF of 31320 and 31326 is 6

Greatest Common Factor of 31320 and 31326 by matching factors method

Factors of 31320

List of positive integer factors of 31320 that divides 31320 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,29,30,36,40,45,54,58,60,72,87,90,108,116,120,135,145,174,180,216,232,261,270,290,348,360,435,522,540,580,696,783,870,1044,1080,1160,1305,1566,1740,2088,2610,3132,3480,3915,5220,6264,7830,10440,15660,31320

Factors of 31326

List of positive integer factors of 31326 that divides 31326 without a remainder.

1,2,3,6,23,46,69,138,227,454,681,1362,5221,10442,15663,31326

Greatest Common Factor

We found the factors and prime factorization of 31320 and 31326. The biggest common factor number is the GCF number.
So the greatest common factor 31320 and 31326 is 6.

Also check out the Least Common Multiple of 31320 and 31326

Properties of GCF 31320 and 31326

(i) The GCF of 31320 and 31326 is associative

GCF of 31320 and 31326 = GCF of 31326 and 31320

Related Greatest Common Factor of 31320

Related Greatest Common Factor of 31326

Frequently Asked Questions on GCF of 31320 and 31326

1. What is the GCF of 31320 and 31326?

Answer: GCF of 31320 and 31326 is 6.

2. What are the Factors of 31320?

Answer: Factors of 31320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 29, 30, 36, 40, 45, 54, 58, 60, 72, 87, 90, 108, 116, 120, 135, 145, 174, 180, 216, 232, 261, 270, 290, 348, 360, 435, 522, 540, 580, 696, 783, 870, 1044, 1080, 1160, 1305, 1566, 1740, 2088, 2610, 3132, 3480, 3915, 5220, 6264, 7830, 10440, 15660, 31320. There are 64 integers that are factors of 31320. The greatest factor of 31320 is 31320.

3. What are the Factors of 31326?

Answer: Factors of 31326 are 1, 2, 3, 6, 23, 46, 69, 138, 227, 454, 681, 1362, 5221, 10442, 15663, 31326. There are 16 integers that are factors of 31326. The greatest factor of 31326 is 31326.

4. How to Find the GCF of 31320 and 31326?

Answer:

Greatest Common Factor of 31320 and 31326 = 6

Step 1: Find the prime factorization of 31320

31320 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 31326

31326 = 2 x 3 x 23 x 227

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 31320 and 31326 is 6