Greatest Common Factor of 3345 and 3349

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, 3349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3345 and 3349 is 1.

GCF(3345,3349) = 1

GCF of 3345 and 3349

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

GCF of:
and

Greatest Common Factor of 3345 and 3349

GCF of 3345 and 3349 is 1

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 3349


17 3349
197 197
1

Prime factors of 3349 are 17,197. Prime factorization of 3349 in exponential form is:

3349 = 171×1971

∴ So by taking common prime factors GCF of 3345 and 3349 is 1

Greatest Common Factor of 3345 and 3349 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 3349

List of positive integer factors of 3349 that divides 3349 without a remainder.

1,17,197,3349

Greatest Common Factor

We found the factors and prime factorization of 3345 and 3349. The biggest common factor number is the GCF number.
So the greatest common factor 3345 and 3349 is 1.

Also check out the Least Common Multiple of 3345 and 3349

Properties of GCF 3345 and 3349

(i) The GCF of 3345 and 3349 is associative

GCF of 3345 and 3349 = GCF of 3349 and 3345

Related Greatest Common Factor of 3345

Related Greatest Common Factor of 3349

Frequently Asked Questions on GCF of 3345 and 3349

1. What is the GCF of 3345 and 3349?

Answer: GCF of 3345 and 3349 is 1.

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 3349?

Answer: Factors of 3349 are 1, 17, 197, 3349. There are 4 integers that are factors of 3349. The greatest factor of 3349 is 3349.

4. How to Find the GCF of 3345 and 3349?

Answer:

Greatest Common Factor of 3345 and 3349 = 1

Step 1: Find the prime factorization of 3345

3345 = 3 x 5 x 223

Step 2: Find the prime factorization of 3349

3349 = 17 x 197

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 3345 and 3349 is 1