Greatest Common Factor of 10353 and 10359

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 10353, 10359 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10353 and 10359 is 3.

GCF(10353,10359) = 3

GCF of 10353 and 10359

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

GCF of:
and

Greatest Common Factor of 10353 and 10359

GCF of 10353 and 10359 is 3

Prime Factorization of 10353


3 10353
7 3451
17 493
29 29
1

Prime factors of 10353 are 3,7,17,29. Prime factorization of 10353 in exponential form is:

10353 = 31×71×171×291

Prime Factorization of 10359


3 10359
3 3453
1151 1151
1

Prime factors of 10359 are 3,1151. Prime factorization of 10359 in exponential form is:

10359 = 32×11511

∴ So by taking common prime factors GCF of 10353 and 10359 is 3

Greatest Common Factor of 10353 and 10359 by matching factors method

Factors of 10353

List of positive integer factors of 10353 that divides 10353 without a remainder.

1,3,7,17,21,29,51,87,119,203,357,493,609,1479,3451,10353

Factors of 10359

List of positive integer factors of 10359 that divides 10359 without a remainder.

1,3,9,1151,3453,10359

Greatest Common Factor

We found the factors and prime factorization of 10353 and 10359. The biggest common factor number is the GCF number.
So the greatest common factor 10353 and 10359 is 3.

Also check out the Least Common Multiple of 10353 and 10359

Properties of GCF 10353 and 10359

(i) The GCF of 10353 and 10359 is associative

GCF of 10353 and 10359 = GCF of 10359 and 10353

Related Greatest Common Factor of 10353

Related Greatest Common Factor of 10359

Frequently Asked Questions on GCF of 10353 and 10359

1. What is the GCF of 10353 and 10359?

Answer: GCF of 10353 and 10359 is 3.

2. What are the Factors of 10353?

Answer: Factors of 10353 are 1, 3, 7, 17, 21, 29, 51, 87, 119, 203, 357, 493, 609, 1479, 3451, 10353. There are 16 integers that are factors of 10353. The greatest factor of 10353 is 10353.

3. What are the Factors of 10359?

Answer: Factors of 10359 are 1, 3, 9, 1151, 3453, 10359. There are 6 integers that are factors of 10359. The greatest factor of 10359 is 10359.

4. How to Find the GCF of 10353 and 10359?

Answer:

Greatest Common Factor of 10353 and 10359 = 3

Step 1: Find the prime factorization of 10353

10353 = 3 x 7 x 17 x 29

Step 2: Find the prime factorization of 10359

10359 = 3 x 3 x 1151

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10353 and 10359 is 3