Greatest Common Factor of 10335 and 10336

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, 10336 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10335 and 10336 is 1.

GCF(10335,10336) = 1

GCF of 10335 and 10336

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

GCF of:
and

Greatest Common Factor of 10335 and 10336

GCF of 10335 and 10336 is 1

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 10336


2 10336
2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 10336 are 2,17,19. Prime factorization of 10336 in exponential form is:

10336 = 25×171×191

∴ So by taking common prime factors GCF of 10335 and 10336 is 1

Greatest Common Factor of 10335 and 10336 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 10336

List of positive integer factors of 10336 that divides 10336 without a remainder.

1,2,4,8,16,17,19,32,34,38,68,76,136,152,272,304,323,544,608,646,1292,2584,5168,10336

Greatest Common Factor

We found the factors and prime factorization of 10335 and 10336. The biggest common factor number is the GCF number.
So the greatest common factor 10335 and 10336 is 1.

Also check out the Least Common Multiple of 10335 and 10336

Properties of GCF 10335 and 10336

(i) The GCF of 10335 and 10336 is associative

GCF of 10335 and 10336 = GCF of 10336 and 10335

Related Greatest Common Factor of 10335

Related Greatest Common Factor of 10336

Frequently Asked Questions on GCF of 10335 and 10336

1. What is the GCF of 10335 and 10336?

Answer: GCF of 10335 and 10336 is 1.

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 10336?

Answer: Factors of 10336 are 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168, 10336. There are 24 integers that are factors of 10336. The greatest factor of 10336 is 10336.

4. How to Find the GCF of 10335 and 10336?

Answer:

Greatest Common Factor of 10335 and 10336 = 1

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10336

10336 = 2 x 2 x 2 x 2 x 2 x 17 x 19

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 10335 and 10336 is 1