Greatest Common Factor of 10336 and 10340

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 10336, 10340 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10336 and 10340 is 4.

GCF(10336,10340) = 4

GCF of 10336 and 10340

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

GCF of:
and

Greatest Common Factor of 10336 and 10340

GCF of 10336 and 10340 is 4

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

Prime Factorization of 10340


2 10340
2 5170
5 2585
11 517
47 47
1

Prime factors of 10340 are 2,5,11,47. Prime factorization of 10340 in exponential form is:

10340 = 22×51×111×471

∴ So by taking common prime factors GCF of 10336 and 10340 is 4

Greatest Common Factor of 10336 and 10340 by matching factors method

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

Factors of 10340

List of positive integer factors of 10340 that divides 10340 without a remainder.

1,2,4,5,10,11,20,22,44,47,55,94,110,188,220,235,470,517,940,1034,2068,2585,5170,10340

Greatest Common Factor

We found the factors and prime factorization of 10336 and 10340. The biggest common factor number is the GCF number.
So the greatest common factor 10336 and 10340 is 4.

Also check out the Least Common Multiple of 10336 and 10340

Properties of GCF 10336 and 10340

(i) The GCF of 10336 and 10340 is associative

GCF of 10336 and 10340 = GCF of 10340 and 10336

Related Greatest Common Factor of 10336

Related Greatest Common Factor of 10340

Frequently Asked Questions on GCF of 10336 and 10340

1. What is the GCF of 10336 and 10340?

Answer: GCF of 10336 and 10340 is 4.

2. 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.

3. What are the Factors of 10340?

Answer: Factors of 10340 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340. There are 24 integers that are factors of 10340. The greatest factor of 10340 is 10340.

4. How to Find the GCF of 10336 and 10340?

Answer:

Greatest Common Factor of 10336 and 10340 = 4

Step 1: Find the prime factorization of 10336

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

Step 2: Find the prime factorization of 10340

10340 = 2 x 2 x 5 x 11 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10336 and 10340 is 4