Greatest Common Factor of 4342 and 4346

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 4342, 4346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4342 and 4346 is 2.

GCF(4342,4346) = 2

GCF of 4342 and 4346

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

GCF of:
and

Greatest Common Factor of 4342 and 4346

GCF of 4342 and 4346 is 2

Prime Factorization of 4342


2 4342
13 2171
167 167
1

Prime factors of 4342 are 2,13,167. Prime factorization of 4342 in exponential form is:

4342 = 21×131×1671

Prime Factorization of 4346


2 4346
41 2173
53 53
1

Prime factors of 4346 are 2,41,53. Prime factorization of 4346 in exponential form is:

4346 = 21×411×531

∴ So by taking common prime factors GCF of 4342 and 4346 is 2

Greatest Common Factor of 4342 and 4346 by matching factors method

Factors of 4342

List of positive integer factors of 4342 that divides 4342 without a remainder.

1,2,13,26,167,334,2171,4342

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1,2,41,53,82,106,2173,4346

Greatest Common Factor

We found the factors and prime factorization of 4342 and 4346. The biggest common factor number is the GCF number.
So the greatest common factor 4342 and 4346 is 2.

Also check out the Least Common Multiple of 4342 and 4346

Properties of GCF 4342 and 4346

(i) The GCF of 4342 and 4346 is associative

GCF of 4342 and 4346 = GCF of 4346 and 4342

Related Greatest Common Factor of 4342

Related Greatest Common Factor of 4346

Frequently Asked Questions on GCF of 4342 and 4346

1. What is the GCF of 4342 and 4346?

Answer: GCF of 4342 and 4346 is 2.

2. What are the Factors of 4342?

Answer: Factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342. There are 8 integers that are factors of 4342. The greatest factor of 4342 is 4342.

3. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

4. How to Find the GCF of 4342 and 4346?

Answer:

Greatest Common Factor of 4342 and 4346 = 2

Step 1: Find the prime factorization of 4342

4342 = 2 x 13 x 167

Step 2: Find the prime factorization of 4346

4346 = 2 x 41 x 53

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 4342 and 4346 is 2