Greatest Common Factor of 10336 and 10342

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, 10342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10336 and 10342 is 2.

GCF(10336,10342) = 2

GCF of 10336 and 10342

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

GCF of:
and

Greatest Common Factor of 10336 and 10342

GCF of 10336 and 10342 is 2

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 10342


2 10342
5171 5171
1

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 21×51711

∴ So by taking common prime factors GCF of 10336 and 10342 is 2

Greatest Common Factor of 10336 and 10342 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 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1,2,5171,10342

Greatest Common Factor

We found the factors and prime factorization of 10336 and 10342. The biggest common factor number is the GCF number.
So the greatest common factor 10336 and 10342 is 2.

Also check out the Least Common Multiple of 10336 and 10342

Properties of GCF 10336 and 10342

(i) The GCF of 10336 and 10342 is associative

GCF of 10336 and 10342 = GCF of 10342 and 10336

Related Greatest Common Factor of 10336

Related Greatest Common Factor of 10342

Frequently Asked Questions on GCF of 10336 and 10342

1. What is the GCF of 10336 and 10342?

Answer: GCF of 10336 and 10342 is 2.

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 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

4. How to Find the GCF of 10336 and 10342?

Answer:

Greatest Common Factor of 10336 and 10342 = 2

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 10342

10342 = 2 x 5171

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 10336 and 10342 is 2