Greatest Common Factor of 8336 and 8338

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 8336, 8338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8336 and 8338 is 2.

GCF(8336,8338) = 2

GCF of 8336 and 8338

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

GCF of:
and

Greatest Common Factor of 8336 and 8338

GCF of 8336 and 8338 is 2

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

Prime Factorization of 8338


2 8338
11 4169
379 379
1

Prime factors of 8338 are 2,11,379. Prime factorization of 8338 in exponential form is:

8338 = 21×111×3791

∴ So by taking common prime factors GCF of 8336 and 8338 is 2

Greatest Common Factor of 8336 and 8338 by matching factors method

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1,2,4,8,16,521,1042,2084,4168,8336

Factors of 8338

List of positive integer factors of 8338 that divides 8338 without a remainder.

1,2,11,22,379,758,4169,8338

Greatest Common Factor

We found the factors and prime factorization of 8336 and 8338. The biggest common factor number is the GCF number.
So the greatest common factor 8336 and 8338 is 2.

Also check out the Least Common Multiple of 8336 and 8338

Properties of GCF 8336 and 8338

(i) The GCF of 8336 and 8338 is associative

GCF of 8336 and 8338 = GCF of 8338 and 8336

Related Greatest Common Factor of 8336

Related Greatest Common Factor of 8338

Frequently Asked Questions on GCF of 8336 and 8338

1. What is the GCF of 8336 and 8338?

Answer: GCF of 8336 and 8338 is 2.

2. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

3. What are the Factors of 8338?

Answer: Factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338. There are 8 integers that are factors of 8338. The greatest factor of 8338 is 8338.

4. How to Find the GCF of 8336 and 8338?

Answer:

Greatest Common Factor of 8336 and 8338 = 2

Step 1: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

Step 2: Find the prime factorization of 8338

8338 = 2 x 11 x 379

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 8336 and 8338 is 2