Greatest Common Factor of 3354 and 3361

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 3354, 3361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3354 and 3361 is 1.

GCF(3354,3361) = 1

GCF of 3354 and 3361

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

GCF of:
and

Greatest Common Factor of 3354 and 3361

GCF of 3354 and 3361 is 1

Prime Factorization of 3354


2 3354
3 1677
13 559
43 43
1

Prime factors of 3354 are 2,3,13,43. Prime factorization of 3354 in exponential form is:

3354 = 21×31×131×431

Prime Factorization of 3361


3361 3361
1

Prime factors of 3361 are 3361. Prime factorization of 3361 in exponential form is:

3361 = 33611

∴ So by taking common prime factors GCF of 3354 and 3361 is 1

Greatest Common Factor of 3354 and 3361 by matching factors method

Factors of 3354

List of positive integer factors of 3354 that divides 3354 without a remainder.

1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1,3361

Greatest Common Factor

We found the factors and prime factorization of 3354 and 3361. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3361 is 1.

Also check out the Least Common Multiple of 3354 and 3361

Properties of GCF 3354 and 3361

(i) The GCF of 3354 and 3361 is associative

GCF of 3354 and 3361 = GCF of 3361 and 3354

Related Greatest Common Factor of 3354

Related Greatest Common Factor of 3361

Frequently Asked Questions on GCF of 3354 and 3361

1. What is the GCF of 3354 and 3361?

Answer: GCF of 3354 and 3361 is 1.

2. What are the Factors of 3354?

Answer: Factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354. There are 16 integers that are factors of 3354. The greatest factor of 3354 is 3354.

3. What are the Factors of 3361?

Answer: Factors of 3361 are 1, 3361. There are 2 integers that are factors of 3361. The greatest factor of 3361 is 3361.

4. How to Find the GCF of 3354 and 3361?

Answer:

Greatest Common Factor of 3354 and 3361 = 1

Step 1: Find the prime factorization of 3354

3354 = 2 x 3 x 13 x 43

Step 2: Find the prime factorization of 3361

3361 = 3361

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 3354 and 3361 is 1