Greatest Common Factor of 31320 and 31324

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, 31324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31320 and 31324 is 4.

GCF(31320,31324) = 4

GCF of 31320 and 31324

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

GCF of:
and

Greatest Common Factor of 31320 and 31324

GCF of 31320 and 31324 is 4

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 31324


2 31324
2 15662
41 7831
191 191
1

Prime factors of 31324 are 2,41,191. Prime factorization of 31324 in exponential form is:

31324 = 22×411×1911

∴ So by taking common prime factors GCF of 31320 and 31324 is 4

Greatest Common Factor of 31320 and 31324 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 31324

List of positive integer factors of 31324 that divides 31324 without a remainder.

1,2,4,41,82,164,191,382,764,7831,15662,31324

Greatest Common Factor

We found the factors and prime factorization of 31320 and 31324. The biggest common factor number is the GCF number.
So the greatest common factor 31320 and 31324 is 4.

Also check out the Least Common Multiple of 31320 and 31324

Properties of GCF 31320 and 31324

(i) The GCF of 31320 and 31324 is associative

GCF of 31320 and 31324 = GCF of 31324 and 31320

Related Greatest Common Factor of 31320

Related Greatest Common Factor of 31324

Frequently Asked Questions on GCF of 31320 and 31324

1. What is the GCF of 31320 and 31324?

Answer: GCF of 31320 and 31324 is 4.

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 31324?

Answer: Factors of 31324 are 1, 2, 4, 41, 82, 164, 191, 382, 764, 7831, 15662, 31324. There are 12 integers that are factors of 31324. The greatest factor of 31324 is 31324.

4. How to Find the GCF of 31320 and 31324?

Answer:

Greatest Common Factor of 31320 and 31324 = 4

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 31324

31324 = 2 x 2 x 41 x 191

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 31320 and 31324 is 4