Greatest Common Factor of 334 and 339

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 334, 339 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 334 and 339 is 1.

GCF(334,339) = 1

GCF of 334 and 339

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

GCF of:
and

Greatest Common Factor of 334 and 339

GCF of 334 and 339 is 1

Prime Factorization of 334


2 334
167 167
1

Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:

334 = 21×1671

Prime Factorization of 339


3 339
113 113
1

Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:

339 = 31×1131

∴ So by taking common prime factors GCF of 334 and 339 is 1

Greatest Common Factor of 334 and 339 by matching factors method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors and prime factorization of 334 and 339. The biggest common factor number is the GCF number.
So the greatest common factor 334 and 339 is 1.

Also check out the Least Common Multiple of 334 and 339

Properties of GCF 334 and 339

(i) The GCF of 334 and 339 is associative

GCF of 334 and 339 = GCF of 339 and 334

Related Greatest Common Factor of 334

Related Greatest Common Factor of 339

Frequently Asked Questions on GCF of 334 and 339

1. What is the GCF of 334 and 339?

Answer: GCF of 334 and 339 is 1.

2. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

3. What are the Factors of 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

4. How to Find the GCF of 334 and 339?

Answer:

Greatest Common Factor of 334 and 339 = 1

Step 1: Find the prime factorization of 334

334 = 2 x 167

Step 2: Find the prime factorization of 339

339 = 3 x 113

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 334 and 339 is 1