Greatest Common Factor of 343 and 349

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 343, 349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 343 and 349 is 1.

GCF(343,349) = 1

GCF of 343 and 349

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

GCF of:
and

Greatest Common Factor of 343 and 349

GCF of 343 and 349 is 1

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

Prime Factorization of 349


349 349
1

Prime factors of 349 are 349.Prime factorization of 349 in exponential form is:

349 = 3491

∴ So by taking common prime factors GCF of 343 and 349 is 1

Greatest Common Factor of 343 and 349 by matching factors method

Factors of 343

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

1,7,49,343

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors and prime factorization of 343 and 349. The biggest common factor number is the GCF number.
So the greatest common factor 343 and 349 is 1.

Also check out the Least Common Multiple of 343 and 349

Properties of GCF 343 and 349

(i) The GCF of 343 and 349 is associative

GCF of 343 and 349 = GCF of 349 and 343

Related Greatest Common Factor of 343

Related Greatest Common Factor of 349

Frequently Asked Questions on GCF of 343 and 349

1. What is the GCF of 343 and 349?

Answer: GCF of 343 and 349 is 1.

2. 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.

3. What are the Factors of 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

4. How to Find the GCF of 343 and 349?

Answer:

Greatest Common Factor of 343 and 349 = 1

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 349

349 = 349

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 343 and 349 is 1