Greatest Common Factor of 3354 and 3359

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, 3359 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3354 and 3359 is 1.

GCF(3354,3359) = 1

GCF of 3354 and 3359

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

GCF of:
and

Greatest Common Factor of 3354 and 3359

GCF of 3354 and 3359 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 3359


3359 3359
1

Prime factors of 3359 are 3359. Prime factorization of 3359 in exponential form is:

3359 = 33591

∴ So by taking common prime factors GCF of 3354 and 3359 is 1

Greatest Common Factor of 3354 and 3359 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 3359

List of positive integer factors of 3359 that divides 3359 without a remainder.

1,3359

Greatest Common Factor

We found the factors and prime factorization of 3354 and 3359. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3359 is 1.

Also check out the Least Common Multiple of 3354 and 3359

Properties of GCF 3354 and 3359

(i) The GCF of 3354 and 3359 is associative

GCF of 3354 and 3359 = GCF of 3359 and 3354

Related Greatest Common Factor of 3354

Related Greatest Common Factor of 3359

Frequently Asked Questions on GCF of 3354 and 3359

1. What is the GCF of 3354 and 3359?

Answer: GCF of 3354 and 3359 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 3359?

Answer: Factors of 3359 are 1, 3359. There are 2 integers that are factors of 3359. The greatest factor of 3359 is 3359.

4. How to Find the GCF of 3354 and 3359?

Answer:

Greatest Common Factor of 3354 and 3359 = 1

Step 1: Find the prime factorization of 3354

3354 = 2 x 3 x 13 x 43

Step 2: Find the prime factorization of 3359

3359 = 3359

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 3359 is 1