Greatest Common Factor of 3345 and 3351

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 3345, 3351 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3345 and 3351 is 3.

GCF(3345,3351) = 3

GCF of 3345 and 3351

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

GCF of:
and

Greatest Common Factor of 3345 and 3351

GCF of 3345 and 3351 is 3

Prime Factorization of 3345


3 3345
5 1115
223 223
1

Prime factors of 3345 are 3,5,223. Prime factorization of 3345 in exponential form is:

3345 = 31×51×2231

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

∴ So by taking common prime factors GCF of 3345 and 3351 is 3

Greatest Common Factor of 3345 and 3351 by matching factors method

Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1,3,5,15,223,669,1115,3345

Factors of 3351

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

1,3,1117,3351

Greatest Common Factor

We found the factors and prime factorization of 3345 and 3351. The biggest common factor number is the GCF number.
So the greatest common factor 3345 and 3351 is 3.

Also check out the Least Common Multiple of 3345 and 3351

Properties of GCF 3345 and 3351

(i) The GCF of 3345 and 3351 is associative

GCF of 3345 and 3351 = GCF of 3351 and 3345

Related Greatest Common Factor of 3345

Related Greatest Common Factor of 3351

Frequently Asked Questions on GCF of 3345 and 3351

1. What is the GCF of 3345 and 3351?

Answer: GCF of 3345 and 3351 is 3.

2. What are the Factors of 3345?

Answer: Factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345. There are 8 integers that are factors of 3345. The greatest factor of 3345 is 3345.

3. 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.

4. How to Find the GCF of 3345 and 3351?

Answer:

Greatest Common Factor of 3345 and 3351 = 3

Step 1: Find the prime factorization of 3345

3345 = 3 x 5 x 223

Step 2: Find the prime factorization of 3351

3351 = 3 x 1117

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 3345 and 3351 is 3