Greatest Common Factor of 10335 and 10338

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 10335, 10338 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10335 and 10338 is 3.

GCF(10335,10338) = 3

GCF of 10335 and 10338

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

GCF of:
and

Greatest Common Factor of 10335 and 10338

GCF of 10335 and 10338 is 3

Prime Factorization of 10335


3 10335
5 3445
13 689
53 53
1

Prime factors of 10335 are 3,5,13,53. Prime factorization of 10335 in exponential form is:

10335 = 31×51×131×531

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

∴ So by taking common prime factors GCF of 10335 and 10338 is 3

Greatest Common Factor of 10335 and 10338 by matching factors method

Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1,3,5,13,15,39,53,65,159,195,265,689,795,2067,3445,10335

Factors of 10338

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

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

Greatest Common Factor

We found the factors and prime factorization of 10335 and 10338. The biggest common factor number is the GCF number.
So the greatest common factor 10335 and 10338 is 3.

Also check out the Least Common Multiple of 10335 and 10338

Properties of GCF 10335 and 10338

(i) The GCF of 10335 and 10338 is associative

GCF of 10335 and 10338 = GCF of 10338 and 10335

Related Greatest Common Factor of 10335

Related Greatest Common Factor of 10338

Frequently Asked Questions on GCF of 10335 and 10338

1. What is the GCF of 10335 and 10338?

Answer: GCF of 10335 and 10338 is 3.

2. What are the Factors of 10335?

Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.

3. 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.

4. How to Find the GCF of 10335 and 10338?

Answer:

Greatest Common Factor of 10335 and 10338 = 3

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10338

10338 = 2 x 3 x 1723

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 10335 and 10338 is 3