Greatest Common Factor of 10326 and 10330

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 10326, 10330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10326 and 10330 is 2.

GCF(10326,10330) = 2

GCF of 10326 and 10330

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

GCF of:
and

Greatest Common Factor of 10326 and 10330

GCF of 10326 and 10330 is 2

Prime Factorization of 10326


2 10326
3 5163
1721 1721
1

Prime factors of 10326 are 2,3,1721. Prime factorization of 10326 in exponential form is:

10326 = 21×31×17211

Prime Factorization of 10330


2 10330
5 5165
1033 1033
1

Prime factors of 10330 are 2,5,1033. Prime factorization of 10330 in exponential form is:

10330 = 21×51×10331

∴ So by taking common prime factors GCF of 10326 and 10330 is 2

Greatest Common Factor of 10326 and 10330 by matching factors method

Factors of 10326

List of positive integer factors of 10326 that divides 10326 without a remainder.

1,2,3,6,1721,3442,5163,10326

Factors of 10330

List of positive integer factors of 10330 that divides 10330 without a remainder.

1,2,5,10,1033,2066,5165,10330

Greatest Common Factor

We found the factors and prime factorization of 10326 and 10330. The biggest common factor number is the GCF number.
So the greatest common factor 10326 and 10330 is 2.

Also check out the Least Common Multiple of 10326 and 10330

Properties of GCF 10326 and 10330

(i) The GCF of 10326 and 10330 is associative

GCF of 10326 and 10330 = GCF of 10330 and 10326

Related Greatest Common Factor of 10326

Related Greatest Common Factor of 10330

Frequently Asked Questions on GCF of 10326 and 10330

1. What is the GCF of 10326 and 10330?

Answer: GCF of 10326 and 10330 is 2.

2. What are the Factors of 10326?

Answer: Factors of 10326 are 1, 2, 3, 6, 1721, 3442, 5163, 10326. There are 8 integers that are factors of 10326. The greatest factor of 10326 is 10326.

3. What are the Factors of 10330?

Answer: Factors of 10330 are 1, 2, 5, 10, 1033, 2066, 5165, 10330. There are 8 integers that are factors of 10330. The greatest factor of 10330 is 10330.

4. How to Find the GCF of 10326 and 10330?

Answer:

Greatest Common Factor of 10326 and 10330 = 2

Step 1: Find the prime factorization of 10326

10326 = 2 x 3 x 1721

Step 2: Find the prime factorization of 10330

10330 = 2 x 5 x 1033

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 10326 and 10330 is 2