Greatest Common Factor of 10359 and 10364

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 10359, 10364 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10359 and 10364 is 1.

GCF(10359,10364) = 1

GCF of 10359 and 10364

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

GCF of:
and

Greatest Common Factor of 10359 and 10364

GCF of 10359 and 10364 is 1

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

Prime Factorization of 10364


2 10364
2 5182
2591 2591
1

Prime factors of 10364 are 2,2591. Prime factorization of 10364 in exponential form is:

10364 = 22×25911

∴ So by taking common prime factors GCF of 10359 and 10364 is 1

Greatest Common Factor of 10359 and 10364 by matching factors method

Factors of 10359

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

1,3,9,1151,3453,10359

Factors of 10364

List of positive integer factors of 10364 that divides 10364 without a remainder.

1,2,4,2591,5182,10364

Greatest Common Factor

We found the factors and prime factorization of 10359 and 10364. The biggest common factor number is the GCF number.
So the greatest common factor 10359 and 10364 is 1.

Also check out the Least Common Multiple of 10359 and 10364

Properties of GCF 10359 and 10364

(i) The GCF of 10359 and 10364 is associative

GCF of 10359 and 10364 = GCF of 10364 and 10359

Related Greatest Common Factor of 10359

Related Greatest Common Factor of 10364

Frequently Asked Questions on GCF of 10359 and 10364

1. What is the GCF of 10359 and 10364?

Answer: GCF of 10359 and 10364 is 1.

2. 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.

3. What are the Factors of 10364?

Answer: Factors of 10364 are 1, 2, 4, 2591, 5182, 10364. There are 6 integers that are factors of 10364. The greatest factor of 10364 is 10364.

4. How to Find the GCF of 10359 and 10364?

Answer:

Greatest Common Factor of 10359 and 10364 = 1

Step 1: Find the prime factorization of 10359

10359 = 3 x 3 x 1151

Step 2: Find the prime factorization of 10364

10364 = 2 x 2 x 2591

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 10359 and 10364 is 1