Greatest Common Factor of 10338 and 10346

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 10338, 10346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10338 and 10346 is 2.

GCF(10338,10346) = 2

GCF of 10338 and 10346

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

GCF of:
and

Greatest Common Factor of 10338 and 10346

GCF of 10338 and 10346 is 2

Prime Factorization of 10338


2 10338
3 5169
1723 1723
1

Prime factors of 10338 are 2,3,1723. Prime factorization of 10338 in exponential form is:

10338 = 21×31×17231

Prime Factorization of 10346


2 10346
7 5173
739 739
1

Prime factors of 10346 are 2,7,739. Prime factorization of 10346 in exponential form is:

10346 = 21×71×7391

∴ So by taking common prime factors GCF of 10338 and 10346 is 2

Greatest Common Factor of 10338 and 10346 by matching factors method

Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1,2,3,6,1723,3446,5169,10338

Factors of 10346

List of positive integer factors of 10346 that divides 10346 without a remainder.

1,2,7,14,739,1478,5173,10346

Greatest Common Factor

We found the factors and prime factorization of 10338 and 10346. The biggest common factor number is the GCF number.
So the greatest common factor 10338 and 10346 is 2.

Also check out the Least Common Multiple of 10338 and 10346

Properties of GCF 10338 and 10346

(i) The GCF of 10338 and 10346 is associative

GCF of 10338 and 10346 = GCF of 10346 and 10338

Related Greatest Common Factor of 10338

Related Greatest Common Factor of 10346

Frequently Asked Questions on GCF of 10338 and 10346

1. What is the GCF of 10338 and 10346?

Answer: GCF of 10338 and 10346 is 2.

2. What are the Factors of 10338?

Answer: Factors of 10338 are 1, 2, 3, 6, 1723, 3446, 5169, 10338. There are 8 integers that are factors of 10338. The greatest factor of 10338 is 10338.

3. What are the Factors of 10346?

Answer: Factors of 10346 are 1, 2, 7, 14, 739, 1478, 5173, 10346. There are 8 integers that are factors of 10346. The greatest factor of 10346 is 10346.

4. How to Find the GCF of 10338 and 10346?

Answer:

Greatest Common Factor of 10338 and 10346 = 2

Step 1: Find the prime factorization of 10338

10338 = 2 x 3 x 1723

Step 2: Find the prime factorization of 10346

10346 = 2 x 7 x 739

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10338 and 10346 is 2