Greatest Common Factor of 342 and 344

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 342, 344 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 342 and 344 is 2.

GCF(342,344) = 2

GCF of 342 and 344

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

GCF of:
and

Greatest Common Factor of 342 and 344

GCF of 342 and 344 is 2

Prime Factorization of 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2,3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

∴ So by taking common prime factors GCF of 342 and 344 is 2

Greatest Common Factor of 342 and 344 by matching factors method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors and prime factorization of 342 and 344. The biggest common factor number is the GCF number.
So the greatest common factor 342 and 344 is 2.

Also check out the Least Common Multiple of 342 and 344

Properties of GCF 342 and 344

(i) The GCF of 342 and 344 is associative

GCF of 342 and 344 = GCF of 344 and 342

Related Greatest Common Factor of 342

Related Greatest Common Factor of 344

Frequently Asked Questions on GCF of 342 and 344

1. What is the GCF of 342 and 344?

Answer: GCF of 342 and 344 is 2.

2. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

3. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the GCF of 342 and 344?

Answer:

Greatest Common Factor of 342 and 344 = 2

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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 342 and 344 is 2