Greatest Common Factor of 8338 and 8342

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 8338, 8342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8338 and 8342 is 2.

GCF(8338,8342) = 2

GCF of 8338 and 8342

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

GCF of:
and

Greatest Common Factor of 8338 and 8342

GCF of 8338 and 8342 is 2

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

Prime Factorization of 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2,43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

∴ So by taking common prime factors GCF of 8338 and 8342 is 2

Greatest Common Factor of 8338 and 8342 by matching factors method

Factors of 8338

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

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

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1,2,43,86,97,194,4171,8342

Greatest Common Factor

We found the factors and prime factorization of 8338 and 8342. The biggest common factor number is the GCF number.
So the greatest common factor 8338 and 8342 is 2.

Also check out the Least Common Multiple of 8338 and 8342

Properties of GCF 8338 and 8342

(i) The GCF of 8338 and 8342 is associative

GCF of 8338 and 8342 = GCF of 8342 and 8338

Related Greatest Common Factor of 8338

Related Greatest Common Factor of 8342

Frequently Asked Questions on GCF of 8338 and 8342

1. What is the GCF of 8338 and 8342?

Answer: GCF of 8338 and 8342 is 2.

2. 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.

3. What are the Factors of 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

4. How to Find the GCF of 8338 and 8342?

Answer:

Greatest Common Factor of 8338 and 8342 = 2

Step 1: Find the prime factorization of 8338

8338 = 2 x 11 x 379

Step 2: Find the prime factorization of 8342

8342 = 2 x 43 x 97

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 8338 and 8342 is 2