Greatest Common Factor of 10336 and 10344

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, 10344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10336 and 10344 is 8.

GCF(10336,10344) = 8

GCF of 10336 and 10344

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

GCF of:
and

Greatest Common Factor of 10336 and 10344

GCF of 10336 and 10344 is 8

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 10344


2 10344
2 5172
2 2586
3 1293
431 431
1

Prime factors of 10344 are 2,3,431. Prime factorization of 10344 in exponential form is:

10344 = 23×31×4311

∴ So by taking common prime factors GCF of 10336 and 10344 is 8

Greatest Common Factor of 10336 and 10344 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 10344

List of positive integer factors of 10344 that divides 10344 without a remainder.

1,2,3,4,6,8,12,24,431,862,1293,1724,2586,3448,5172,10344

Greatest Common Factor

We found the factors and prime factorization of 10336 and 10344. The biggest common factor number is the GCF number.
So the greatest common factor 10336 and 10344 is 8.

Also check out the Least Common Multiple of 10336 and 10344

Properties of GCF 10336 and 10344

(i) The GCF of 10336 and 10344 is associative

GCF of 10336 and 10344 = GCF of 10344 and 10336

Related Greatest Common Factor of 10336

Related Greatest Common Factor of 10344

Frequently Asked Questions on GCF of 10336 and 10344

1. What is the GCF of 10336 and 10344?

Answer: GCF of 10336 and 10344 is 8.

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 10344?

Answer: Factors of 10344 are 1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344. There are 16 integers that are factors of 10344. The greatest factor of 10344 is 10344.

4. How to Find the GCF of 10336 and 10344?

Answer:

Greatest Common Factor of 10336 and 10344 = 8

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 10344

10344 = 2 x 2 x 2 x 3 x 431

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 10336 and 10344 is 8