Greatest Common Factor of 345 and 351

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

Greatest common factor (GCF) of 345 and 351 is 3.

GCF(345,351) = 3

GCF of 345 and 351

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

GCF of:
and

Greatest Common Factor of 345 and 351

GCF of 345 and 351 is 3

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 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

∴ So by taking common prime factors GCF of 345 and 351 is 3

Greatest Common Factor of 345 and 351 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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors and prime factorization of 345 and 351. The biggest common factor number is the GCF number.
So the greatest common factor 345 and 351 is 3.

Also check out the Least Common Multiple of 345 and 351

Properties of GCF 345 and 351

(i) The GCF of 345 and 351 is associative

GCF of 345 and 351 = GCF of 351 and 345

Related Greatest Common Factor of 345

Related Greatest Common Factor of 351

Frequently Asked Questions on GCF of 345 and 351

1. What is the GCF of 345 and 351?

Answer: GCF of 345 and 351 is 3.

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 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

4. How to Find the GCF of 345 and 351?

Answer:

Greatest Common Factor of 345 and 351 = 3

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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 345 and 351 is 3