Greatest Common Factor of 8342 and 8346

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 8342, 8346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8342 and 8346 is 2.

GCF(8342,8346) = 2

GCF of 8342 and 8346

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

GCF of:
and

Greatest Common Factor of 8342 and 8346

GCF of 8342 and 8346 is 2

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

Prime Factorization of 8346


2 8346
3 4173
13 1391
107 107
1

Prime factors of 8346 are 2,3,13,107. Prime factorization of 8346 in exponential form is:

8346 = 21×31×131×1071

∴ So by taking common prime factors GCF of 8342 and 8346 is 2

Greatest Common Factor of 8342 and 8346 by matching factors method

Factors of 8342

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

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

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346

Greatest Common Factor

We found the factors and prime factorization of 8342 and 8346. The biggest common factor number is the GCF number.
So the greatest common factor 8342 and 8346 is 2.

Also check out the Least Common Multiple of 8342 and 8346

Properties of GCF 8342 and 8346

(i) The GCF of 8342 and 8346 is associative

GCF of 8342 and 8346 = GCF of 8346 and 8342

Related Greatest Common Factor of 8342

Related Greatest Common Factor of 8346

Frequently Asked Questions on GCF of 8342 and 8346

1. What is the GCF of 8342 and 8346?

Answer: GCF of 8342 and 8346 is 2.

2. 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.

3. What are the Factors of 8346?

Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.

4. How to Find the GCF of 8342 and 8346?

Answer:

Greatest Common Factor of 8342 and 8346 = 2

Step 1: Find the prime factorization of 8342

8342 = 2 x 43 x 97

Step 2: Find the prime factorization of 8346

8346 = 2 x 3 x 13 x 107

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 8342 and 8346 is 2