Greatest Common Factor of 342 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 342, 343 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 342 and 343 is 1.

GCF(342,343) = 1

GCF of 342 and 343

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

GCF of:
and

Greatest Common Factor of 342 and 343

GCF of 342 and 343 is 1

Prime Factorization of 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2,3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

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 342 and 343 is 1

Greatest Common Factor of 342 and 343 by matching factors method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

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 342 and 343. The biggest common factor number is the GCF number.
So the greatest common factor 342 and 343 is 1.

Also check out the Least Common Multiple of 342 and 343

Properties of GCF 342 and 343

(i) The GCF of 342 and 343 is associative

GCF of 342 and 343 = GCF of 343 and 342

Related Greatest Common Factor of 342

Related Greatest Common Factor of 343

Frequently Asked Questions on GCF of 342 and 343

1. What is the GCF of 342 and 343?

Answer: GCF of 342 and 343 is 1.

2. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

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 342 and 343?

Answer:

Greatest Common Factor of 342 and 343 = 1

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

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 342 and 343 is 1