Greatest Common Factor of 342 and 345

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, 345 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 342 and 345 is 3.

GCF(342,345) = 3

GCF of 342 and 345

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

GCF of:
and

Greatest Common Factor of 342 and 345

GCF of 342 and 345 is 3

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 345


3 345
5 115
23 23
1

Prime factors of 345 are 3,5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

∴ So by taking common prime factors GCF of 342 and 345 is 3

Greatest Common Factor of 342 and 345 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 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors and prime factorization of 342 and 345. The biggest common factor number is the GCF number.
So the greatest common factor 342 and 345 is 3.

Also check out the Least Common Multiple of 342 and 345

Properties of GCF 342 and 345

(i) The GCF of 342 and 345 is associative

GCF of 342 and 345 = GCF of 345 and 342

Related Greatest Common Factor of 342

Related Greatest Common Factor of 345

Frequently Asked Questions on GCF of 342 and 345

1. What is the GCF of 342 and 345?

Answer: GCF of 342 and 345 is 3.

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 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

4. How to Find the GCF of 342 and 345?

Answer:

Greatest Common Factor of 342 and 345 = 3

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 342 and 345 is 3