Greatest Common Factor of 2334 and 2342

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 2334, 2342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2334 and 2342 is 2.

GCF(2334,2342) = 2

GCF of 2334 and 2342

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

GCF of:
and

Greatest Common Factor of 2334 and 2342

GCF of 2334 and 2342 is 2

Prime Factorization of 2334


2 2334
3 1167
389 389
1

Prime factors of 2334 are 2,3,389. Prime factorization of 2334 in exponential form is:

2334 = 21×31×3891

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

∴ So by taking common prime factors GCF of 2334 and 2342 is 2

Greatest Common Factor of 2334 and 2342 by matching factors method

Factors of 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1,2,3,6,389,778,1167,2334

Factors of 2342

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

1,2,1171,2342

Greatest Common Factor

We found the factors and prime factorization of 2334 and 2342. The biggest common factor number is the GCF number.
So the greatest common factor 2334 and 2342 is 2.

Also check out the Least Common Multiple of 2334 and 2342

Properties of GCF 2334 and 2342

(i) The GCF of 2334 and 2342 is associative

GCF of 2334 and 2342 = GCF of 2342 and 2334

Related Greatest Common Factor of 2334

Related Greatest Common Factor of 2342

Frequently Asked Questions on GCF of 2334 and 2342

1. What is the GCF of 2334 and 2342?

Answer: GCF of 2334 and 2342 is 2.

2. What are the Factors of 2334?

Answer: Factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334. There are 8 integers that are factors of 2334. The greatest factor of 2334 is 2334.

3. 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.

4. How to Find the GCF of 2334 and 2342?

Answer:

Greatest Common Factor of 2334 and 2342 = 2

Step 1: Find the prime factorization of 2334

2334 = 2 x 3 x 389

Step 2: Find the prime factorization of 2342

2342 = 2 x 1171

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 2334 and 2342 is 2