Greatest Common Factor of 343 and 347

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

Greatest common factor (GCF) of 343 and 347 is 1.

GCF(343,347) = 1

GCF of 343 and 347

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

GCF of:
and

Greatest Common Factor of 343 and 347

GCF of 343 and 347 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 347


347 347
1

Prime factors of 347 are 347.Prime factorization of 347 in exponential form is:

347 = 3471

∴ So by taking common prime factors GCF of 343 and 347 is 1

Greatest Common Factor of 343 and 347 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 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors and prime factorization of 343 and 347. The biggest common factor number is the GCF number.
So the greatest common factor 343 and 347 is 1.

Also check out the Least Common Multiple of 343 and 347

Properties of GCF 343 and 347

(i) The GCF of 343 and 347 is associative

GCF of 343 and 347 = GCF of 347 and 343

Related Greatest Common Factor of 343

Related Greatest Common Factor of 347

Frequently Asked Questions on GCF of 343 and 347

1. What is the GCF of 343 and 347?

Answer: GCF of 343 and 347 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 347?

Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.

4. How to Find the GCF of 343 and 347?

Answer:

Greatest Common Factor of 343 and 347 = 1

Step 1: Find the prime factorization of 343

343 = 7 x 7 x 7

Step 2: Find the prime factorization of 347

347 = 347

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 347 is 1