Greatest Common Factor of 10308 and 10312

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 10308, 10312 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10308 and 10312 is 4.

GCF(10308,10312) = 4

GCF of 10308 and 10312

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

GCF of:
and

Greatest Common Factor of 10308 and 10312

GCF of 10308 and 10312 is 4

Prime Factorization of 10308


2 10308
2 5154
3 2577
859 859
1

Prime factors of 10308 are 2,3,859. Prime factorization of 10308 in exponential form is:

10308 = 22×31×8591

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

∴ So by taking common prime factors GCF of 10308 and 10312 is 4

Greatest Common Factor of 10308 and 10312 by matching factors method

Factors of 10308

List of positive integer factors of 10308 that divides 10308 without a remainder.

1,2,3,4,6,12,859,1718,2577,3436,5154,10308

Factors of 10312

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

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

Greatest Common Factor

We found the factors and prime factorization of 10308 and 10312. The biggest common factor number is the GCF number.
So the greatest common factor 10308 and 10312 is 4.

Also check out the Least Common Multiple of 10308 and 10312

Properties of GCF 10308 and 10312

(i) The GCF of 10308 and 10312 is associative

GCF of 10308 and 10312 = GCF of 10312 and 10308

Related Greatest Common Factor of 10308

Related Greatest Common Factor of 10312

Frequently Asked Questions on GCF of 10308 and 10312

1. What is the GCF of 10308 and 10312?

Answer: GCF of 10308 and 10312 is 4.

2. What are the Factors of 10308?

Answer: Factors of 10308 are 1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308. There are 12 integers that are factors of 10308. The greatest factor of 10308 is 10308.

3. 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.

4. How to Find the GCF of 10308 and 10312?

Answer:

Greatest Common Factor of 10308 and 10312 = 4

Step 1: Find the prime factorization of 10308

10308 = 2 x 2 x 3 x 859

Step 2: Find the prime factorization of 10312

10312 = 2 x 2 x 2 x 1289

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 10308 and 10312 is 4