Greatest Common Factor of 10330 and 10334

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 10330, 10334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10330 and 10334 is 2.

GCF(10330,10334) = 2

GCF of 10330 and 10334

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

GCF of:
and

Greatest Common Factor of 10330 and 10334

GCF of 10330 and 10334 is 2

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

Prime Factorization of 10334


2 10334
5167 5167
1

Prime factors of 10334 are 2,5167. Prime factorization of 10334 in exponential form is:

10334 = 21×51671

∴ So by taking common prime factors GCF of 10330 and 10334 is 2

Greatest Common Factor of 10330 and 10334 by matching factors method

Factors of 10330

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

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

Factors of 10334

List of positive integer factors of 10334 that divides 10334 without a remainder.

1,2,5167,10334

Greatest Common Factor

We found the factors and prime factorization of 10330 and 10334. The biggest common factor number is the GCF number.
So the greatest common factor 10330 and 10334 is 2.

Also check out the Least Common Multiple of 10330 and 10334

Properties of GCF 10330 and 10334

(i) The GCF of 10330 and 10334 is associative

GCF of 10330 and 10334 = GCF of 10334 and 10330

Related Greatest Common Factor of 10330

Related Greatest Common Factor of 10334

Frequently Asked Questions on GCF of 10330 and 10334

1. What is the GCF of 10330 and 10334?

Answer: GCF of 10330 and 10334 is 2.

2. 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.

3. What are the Factors of 10334?

Answer: Factors of 10334 are 1, 2, 5167, 10334. There are 4 integers that are factors of 10334. The greatest factor of 10334 is 10334.

4. How to Find the GCF of 10330 and 10334?

Answer:

Greatest Common Factor of 10330 and 10334 = 2

Step 1: Find the prime factorization of 10330

10330 = 2 x 5 x 1033

Step 2: Find the prime factorization of 10334

10334 = 2 x 5167

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 10330 and 10334 is 2