Greatest Common Factor of 345 and 348

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

Greatest common factor (GCF) of 345 and 348 is 3.

GCF(345,348) = 3

GCF of 345 and 348

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

GCF of:
and

Greatest Common Factor of 345 and 348

GCF of 345 and 348 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 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2,3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

∴ So by taking common prime factors GCF of 345 and 348 is 3

Greatest Common Factor of 345 and 348 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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors and prime factorization of 345 and 348. The biggest common factor number is the GCF number.
So the greatest common factor 345 and 348 is 3.

Also check out the Least Common Multiple of 345 and 348

Properties of GCF 345 and 348

(i) The GCF of 345 and 348 is associative

GCF of 345 and 348 = GCF of 348 and 345

Related Greatest Common Factor of 345

Related Greatest Common Factor of 348

Frequently Asked Questions on GCF of 345 and 348

1. What is the GCF of 345 and 348?

Answer: GCF of 345 and 348 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 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

4. How to Find the GCF of 345 and 348?

Answer:

Greatest Common Factor of 345 and 348 = 3

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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 348 is 3