Greatest Common Factor of 10312 and 10320

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 10312, 10320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10312 and 10320 is 8.

GCF(10312,10320) = 8

GCF of 10312 and 10320

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

GCF of:
and

Greatest Common Factor of 10312 and 10320

GCF of 10312 and 10320 is 8

Prime Factorization of 10312


2 10312
2 5156
2 2578
1289 1289
1

Prime factors of 10312 are 2,1289. Prime factorization of 10312 in exponential form is:

10312 = 23×12891

Prime Factorization of 10320


2 10320
2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 10320 are 2,3,5,43. Prime factorization of 10320 in exponential form is:

10320 = 24×31×51×431

∴ So by taking common prime factors GCF of 10312 and 10320 is 8

Greatest Common Factor of 10312 and 10320 by matching factors method

Factors of 10312

List of positive integer factors of 10312 that divides 10312 without a remainder.

1,2,4,8,1289,2578,5156,10312

Factors of 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,43,48,60,80,86,120,129,172,215,240,258,344,430,516,645,688,860,1032,1290,1720,2064,2580,3440,5160,10320

Greatest Common Factor

We found the factors and prime factorization of 10312 and 10320. The biggest common factor number is the GCF number.
So the greatest common factor 10312 and 10320 is 8.

Also check out the Least Common Multiple of 10312 and 10320

Properties of GCF 10312 and 10320

(i) The GCF of 10312 and 10320 is associative

GCF of 10312 and 10320 = GCF of 10320 and 10312

Related Greatest Common Factor of 10312

Related Greatest Common Factor of 10320

Frequently Asked Questions on GCF of 10312 and 10320

1. What is the GCF of 10312 and 10320?

Answer: GCF of 10312 and 10320 is 8.

2. What are the Factors of 10312?

Answer: Factors of 10312 are 1, 2, 4, 8, 1289, 2578, 5156, 10312. There are 8 integers that are factors of 10312. The greatest factor of 10312 is 10312.

3. What are the Factors of 10320?

Answer: Factors of 10320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320. There are 40 integers that are factors of 10320. The greatest factor of 10320 is 10320.

4. How to Find the GCF of 10312 and 10320?

Answer:

Greatest Common Factor of 10312 and 10320 = 8

Step 1: Find the prime factorization of 10312

10312 = 2 x 2 x 2 x 1289

Step 2: Find the prime factorization of 10320

10320 = 2 x 2 x 2 x 2 x 3 x 5 x 43

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 10312 and 10320 is 8