Greatest Common Factor of 336 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 336, 343 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 336 and 343 is 7.

GCF(336,343) = 7

GCF of 336 and 343

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

GCF of:
and

Greatest Common Factor of 336 and 343

GCF of 336 and 343 is 7

Prime Factorization of 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2,3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

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 336 and 343 is 7

Greatest Common Factor of 336 and 343 by matching factors method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

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 336 and 343. The biggest common factor number is the GCF number.
So the greatest common factor 336 and 343 is 7.

Also check out the Least Common Multiple of 336 and 343

Properties of GCF 336 and 343

(i) The GCF of 336 and 343 is associative

GCF of 336 and 343 = GCF of 343 and 336

Related Greatest Common Factor of 336

Related Greatest Common Factor of 343

Frequently Asked Questions on GCF of 336 and 343

1. What is the GCF of 336 and 343?

Answer: GCF of 336 and 343 is 7.

2. What are the Factors of 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

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 336 and 343?

Answer:

Greatest Common Factor of 336 and 343 = 7

Step 1: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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 = 7

Step 4: Therefore, the greatest common factor of 336 and 343 is 7