Greatest Common Factor of 2342 and 2346

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 2342, 2346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2342 and 2346 is 2.

GCF(2342,2346) = 2

GCF of 2342 and 2346

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

GCF of:
and

Greatest Common Factor of 2342 and 2346

GCF of 2342 and 2346 is 2

Prime Factorization of 2342


2 2342
1171 1171
1

Prime factors of 2342 are 2,1171. Prime factorization of 2342 in exponential form is:

2342 = 21×11711

Prime Factorization of 2346


2 2346
3 1173
17 391
23 23
1

Prime factors of 2346 are 2,3,17,23. Prime factorization of 2346 in exponential form is:

2346 = 21×31×171×231

∴ So by taking common prime factors GCF of 2342 and 2346 is 2

Greatest Common Factor of 2342 and 2346 by matching factors method

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346

Greatest Common Factor

We found the factors and prime factorization of 2342 and 2346. The biggest common factor number is the GCF number.
So the greatest common factor 2342 and 2346 is 2.

Also check out the Least Common Multiple of 2342 and 2346

Properties of GCF 2342 and 2346

(i) The GCF of 2342 and 2346 is associative

GCF of 2342 and 2346 = GCF of 2346 and 2342

Related Greatest Common Factor of 2342

Related Greatest Common Factor of 2346

Frequently Asked Questions on GCF of 2342 and 2346

1. What is the GCF of 2342 and 2346?

Answer: GCF of 2342 and 2346 is 2.

2. What are the Factors of 2342?

Answer: Factors of 2342 are 1, 2, 1171, 2342. There are 4 integers that are factors of 2342. The greatest factor of 2342 is 2342.

3. What are the Factors of 2346?

Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.

4. How to Find the GCF of 2342 and 2346?

Answer:

Greatest Common Factor of 2342 and 2346 = 2

Step 1: Find the prime factorization of 2342

2342 = 2 x 1171

Step 2: Find the prime factorization of 2346

2346 = 2 x 3 x 17 x 23

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 2342 and 2346 is 2