Greatest Common Factor of 340 and 343

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

Greatest common factor (GCF) of 340 and 343 is 1.

GCF(340,343) = 1

GCF of 340 and 343

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

GCF of:
and

Greatest Common Factor of 340 and 343

GCF of 340 and 343 is 1

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 343


7 343
7 49
7 7
1

Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:

343 = 73

∴ So by taking common prime factors GCF of 340 and 343 is 1

Greatest Common Factor of 340 and 343 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 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors and prime factorization of 340 and 343. The biggest common factor number is the GCF number.
So the greatest common factor 340 and 343 is 1.

Also check out the Least Common Multiple of 340 and 343

Properties of GCF 340 and 343

(i) The GCF of 340 and 343 is associative

GCF of 340 and 343 = GCF of 343 and 340

Related Greatest Common Factor of 340

Related Greatest Common Factor of 343

Frequently Asked Questions on GCF of 340 and 343

1. What is the GCF of 340 and 343?

Answer: GCF of 340 and 343 is 1.

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 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

4. How to Find the GCF of 340 and 343?

Answer:

Greatest Common Factor of 340 and 343 = 1

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 343

343 = 7 x 7 x 7

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 340 and 343 is 1