Greatest Common Factor of 336 and 342

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, 342 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 336 and 342 is 6.

GCF(336,342) = 6

GCF of 336 and 342

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

GCF of:
and

Greatest Common Factor of 336 and 342

GCF of 336 and 342 is 6

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 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

∴ So by taking common prime factors GCF of 336 and 342 is 6

Greatest Common Factor of 336 and 342 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 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

Greatest Common Factor

We found the factors and prime factorization of 336 and 342. The biggest common factor number is the GCF number.
So the greatest common factor 336 and 342 is 6.

Also check out the Least Common Multiple of 336 and 342

Properties of GCF 336 and 342

(i) The GCF of 336 and 342 is associative

GCF of 336 and 342 = GCF of 342 and 336

Related Greatest Common Factor of 336

Related Greatest Common Factor of 342

Frequently Asked Questions on GCF of 336 and 342

1. What is the GCF of 336 and 342?

Answer: GCF of 336 and 342 is 6.

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 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.

4. How to Find the GCF of 336 and 342?

Answer:

Greatest Common Factor of 336 and 342 = 6

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 342

342 = 2 x 3 x 3 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 336 and 342 is 6