Greatest Common Factor of 334 and 335

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

Greatest common factor (GCF) of 334 and 335 is 1.

GCF(334,335) = 1

GCF of 334 and 335

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

GCF of:
and

Greatest Common Factor of 334 and 335

GCF of 334 and 335 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 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

∴ So by taking common prime factors GCF of 334 and 335 is 1

Greatest Common Factor of 334 and 335 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 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors and prime factorization of 334 and 335. The biggest common factor number is the GCF number.
So the greatest common factor 334 and 335 is 1.

Also check out the Least Common Multiple of 334 and 335

Properties of GCF 334 and 335

(i) The GCF of 334 and 335 is associative

GCF of 334 and 335 = GCF of 335 and 334

Related Greatest Common Factor of 334

Related Greatest Common Factor of 335

Frequently Asked Questions on GCF of 334 and 335

1. What is the GCF of 334 and 335?

Answer: GCF of 334 and 335 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 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the GCF of 334 and 335?

Answer:

Greatest Common Factor of 334 and 335 = 1

Step 1: Find the prime factorization of 334

334 = 2 x 167

Step 2: Find the prime factorization of 335

335 = 5 x 67

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 335 is 1