Greatest Common Factor of 340 and 346

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 340, 346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 340 and 346 is 2.

GCF(340,346) = 2

GCF of 340 and 346

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

GCF of:
and

Greatest Common Factor of 340 and 346

GCF of 340 and 346 is 2

Prime Factorization of 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2,5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

∴ So by taking common prime factors GCF of 340 and 346 is 2

Greatest Common Factor of 340 and 346 by matching factors method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors and prime factorization of 340 and 346. The biggest common factor number is the GCF number.
So the greatest common factor 340 and 346 is 2.

Also check out the Least Common Multiple of 340 and 346

Properties of GCF 340 and 346

(i) The GCF of 340 and 346 is associative

GCF of 340 and 346 = GCF of 346 and 340

Related Greatest Common Factor of 340

Related Greatest Common Factor of 346

Frequently Asked Questions on GCF of 340 and 346

1. What is the GCF of 340 and 346?

Answer: GCF of 340 and 346 is 2.

2. What are the Factors of 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

3. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

4. How to Find the GCF of 340 and 346?

Answer:

Greatest Common Factor of 340 and 346 = 2

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 346

346 = 2 x 173

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

GCF = 2

Step 4: Therefore, the greatest common factor of 340 and 346 is 2