Greatest Common Factor of 345 and 350

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, 350 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 345 and 350 is 5.

GCF(345,350) = 5

GCF of 345 and 350

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

GCF of:
and

Greatest Common Factor of 345 and 350

GCF of 345 and 350 is 5

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 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2,5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

∴ So by taking common prime factors GCF of 345 and 350 is 5

Greatest Common Factor of 345 and 350 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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors and prime factorization of 345 and 350. The biggest common factor number is the GCF number.
So the greatest common factor 345 and 350 is 5.

Also check out the Least Common Multiple of 345 and 350

Properties of GCF 345 and 350

(i) The GCF of 345 and 350 is associative

GCF of 345 and 350 = GCF of 350 and 345

Related Greatest Common Factor of 345

Related Greatest Common Factor of 350

Frequently Asked Questions on GCF of 345 and 350

1. What is the GCF of 345 and 350?

Answer: GCF of 345 and 350 is 5.

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 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

4. How to Find the GCF of 345 and 350?

Answer:

Greatest Common Factor of 345 and 350 = 5

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 2: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

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

GCF = 5

Step 4: Therefore, the greatest common factor of 345 and 350 is 5