Greatest Common Factor of 345 and 349

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 345, 349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 345 and 349 is 1.

GCF(345,349) = 1

GCF of 345 and 349

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

GCF of:
and

Greatest Common Factor of 345 and 349

GCF of 345 and 349 is 1

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

Prime Factorization of 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

∴ So by taking common prime factors GCF of 345 and 349 is 1

Greatest Common Factor of 345 and 349 by matching factors method

Factors of 345

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

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

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors and prime factorization of 345 and 349. The biggest common factor number is the GCF number.
So the greatest common factor 345 and 349 is 1.

Also check out the Least Common Multiple of 345 and 349

Properties of GCF 345 and 349

(i) The GCF of 345 and 349 is associative

GCF of 345 and 349 = GCF of 349 and 345

Related Greatest Common Factor of 345

Related Greatest Common Factor of 349

Frequently Asked Questions on GCF of 345 and 349

1. What is the GCF of 345 and 349?

Answer: GCF of 345 and 349 is 1.

2. 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.

3. What are the Factors of 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

4. How to Find the GCF of 345 and 349?

Answer:

Greatest Common Factor of 345 and 349 = 1

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 2: Find the prime factorization of 349

349 = 349

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 345 and 349 is 1