Greatest Common Factor of 3351 and 3354

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 3351, 3354 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3351 and 3354 is 3.

GCF(3351,3354) = 3

GCF of 3351 and 3354

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

GCF of:
and

Greatest Common Factor of 3351 and 3354

GCF of 3351 and 3354 is 3

Prime Factorization of 3351


3 3351
1117 1117
1

Prime factors of 3351 are 3,1117. Prime factorization of 3351 in exponential form is:

3351 = 31×11171

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

∴ So by taking common prime factors GCF of 3351 and 3354 is 3

Greatest Common Factor of 3351 and 3354 by matching factors method

Factors of 3351

List of positive integer factors of 3351 that divides 3351 without a remainder.

1,3,1117,3351

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

Greatest Common Factor

We found the factors and prime factorization of 3351 and 3354. The biggest common factor number is the GCF number.
So the greatest common factor 3351 and 3354 is 3.

Also check out the Least Common Multiple of 3351 and 3354

Properties of GCF 3351 and 3354

(i) The GCF of 3351 and 3354 is associative

GCF of 3351 and 3354 = GCF of 3354 and 3351

Related Greatest Common Factor of 3351

Related Greatest Common Factor of 3354

Frequently Asked Questions on GCF of 3351 and 3354

1. What is the GCF of 3351 and 3354?

Answer: GCF of 3351 and 3354 is 3.

2. What are the Factors of 3351?

Answer: Factors of 3351 are 1, 3, 1117, 3351. There are 4 integers that are factors of 3351. The greatest factor of 3351 is 3351.

3. 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.

4. How to Find the GCF of 3351 and 3354?

Answer:

Greatest Common Factor of 3351 and 3354 = 3

Step 1: Find the prime factorization of 3351

3351 = 3 x 1117

Step 2: Find the prime factorization of 3354

3354 = 2 x 3 x 13 x 43

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 3351 and 3354 is 3