Greatest Common Factor of 10307 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 10307, 10312 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10307 and 10312 is 1.

GCF(10307,10312) = 1

GCF of 10307 and 10312

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

GCF of:
and

Greatest Common Factor of 10307 and 10312

GCF of 10307 and 10312 is 1

Prime Factorization of 10307


11 10307
937 937
1

Prime factors of 10307 are 11,937. Prime factorization of 10307 in exponential form is:

10307 = 111×9371

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 10307 and 10312 is 1

Greatest Common Factor of 10307 and 10312 by matching factors method

Factors of 10307

List of positive integer factors of 10307 that divides 10307 without a remainder.

1,11,937,10307

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 10307 and 10312. The biggest common factor number is the GCF number.
So the greatest common factor 10307 and 10312 is 1.

Also check out the Least Common Multiple of 10307 and 10312

Properties of GCF 10307 and 10312

(i) The GCF of 10307 and 10312 is associative

GCF of 10307 and 10312 = GCF of 10312 and 10307

Related Greatest Common Factor of 10307

Related Greatest Common Factor of 10312

Frequently Asked Questions on GCF of 10307 and 10312

1. What is the GCF of 10307 and 10312?

Answer: GCF of 10307 and 10312 is 1.

2. What are the Factors of 10307?

Answer: Factors of 10307 are 1, 11, 937, 10307. There are 4 integers that are factors of 10307. The greatest factor of 10307 is 10307.

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 10307 and 10312?

Answer:

Greatest Common Factor of 10307 and 10312 = 1

Step 1: Find the prime factorization of 10307

10307 = 11 x 937

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 = = 1

Step 4: Therefore, the greatest common factor of 10307 and 10312 is 1