Greatest Common Factor of 3354 and 3357

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, 3357 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3354 and 3357 is 3.

GCF(3354,3357) = 3

GCF of 3354 and 3357

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

GCF of:
and

Greatest Common Factor of 3354 and 3357

GCF of 3354 and 3357 is 3

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 3357


3 3357
3 1119
373 373
1

Prime factors of 3357 are 3,373. Prime factorization of 3357 in exponential form is:

3357 = 32×3731

∴ So by taking common prime factors GCF of 3354 and 3357 is 3

Greatest Common Factor of 3354 and 3357 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 3357

List of positive integer factors of 3357 that divides 3357 without a remainder.

1,3,9,373,1119,3357

Greatest Common Factor

We found the factors and prime factorization of 3354 and 3357. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3357 is 3.

Also check out the Least Common Multiple of 3354 and 3357

Properties of GCF 3354 and 3357

(i) The GCF of 3354 and 3357 is associative

GCF of 3354 and 3357 = GCF of 3357 and 3354

Related Greatest Common Factor of 3354

Related Greatest Common Factor of 3357

Frequently Asked Questions on GCF of 3354 and 3357

1. What is the GCF of 3354 and 3357?

Answer: GCF of 3354 and 3357 is 3.

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 3357?

Answer: Factors of 3357 are 1, 3, 9, 373, 1119, 3357. There are 6 integers that are factors of 3357. The greatest factor of 3357 is 3357.

4. How to Find the GCF of 3354 and 3357?

Answer:

Greatest Common Factor of 3354 and 3357 = 3

Step 1: Find the prime factorization of 3354

3354 = 2 x 3 x 13 x 43

Step 2: Find the prime factorization of 3357

3357 = 3 x 3 x 373

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3354 and 3357 is 3