Greatest Common Factor of 3353 and 3361

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 3353, 3361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3353 and 3361 is 1.

GCF(3353,3361) = 1

GCF of 3353 and 3361

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

GCF of:
and

Greatest Common Factor of 3353 and 3361

GCF of 3353 and 3361 is 1

Prime Factorization of 3353


7 3353
479 479
1

Prime factors of 3353 are 7,479. Prime factorization of 3353 in exponential form is:

3353 = 71×4791

Prime Factorization of 3361


3361 3361
1

Prime factors of 3361 are 3361. Prime factorization of 3361 in exponential form is:

3361 = 33611

∴ So by taking common prime factors GCF of 3353 and 3361 is 1

Greatest Common Factor of 3353 and 3361 by matching factors method

Factors of 3353

List of positive integer factors of 3353 that divides 3353 without a remainder.

1,7,479,3353

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1,3361

Greatest Common Factor

We found the factors and prime factorization of 3353 and 3361. The biggest common factor number is the GCF number.
So the greatest common factor 3353 and 3361 is 1.

Also check out the Least Common Multiple of 3353 and 3361

Properties of GCF 3353 and 3361

(i) The GCF of 3353 and 3361 is associative

GCF of 3353 and 3361 = GCF of 3361 and 3353

Related Greatest Common Factor of 3353

Related Greatest Common Factor of 3361

Frequently Asked Questions on GCF of 3353 and 3361

1. What is the GCF of 3353 and 3361?

Answer: GCF of 3353 and 3361 is 1.

2. What are the Factors of 3353?

Answer: Factors of 3353 are 1, 7, 479, 3353. There are 4 integers that are factors of 3353. The greatest factor of 3353 is 3353.

3. What are the Factors of 3361?

Answer: Factors of 3361 are 1, 3361. There are 2 integers that are factors of 3361. The greatest factor of 3361 is 3361.

4. How to Find the GCF of 3353 and 3361?

Answer:

Greatest Common Factor of 3353 and 3361 = 1

Step 1: Find the prime factorization of 3353

3353 = 7 x 479

Step 2: Find the prime factorization of 3361

3361 = 3361

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 3353 and 3361 is 1