Greatest Common Factor of 3364 and 3370

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 3364, 3370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3364 and 3370 is 2.

GCF(3364,3370) = 2

GCF of 3364 and 3370

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

GCF of:
and

Greatest Common Factor of 3364 and 3370

GCF of 3364 and 3370 is 2

Prime Factorization of 3364


2 3364
2 1682
29 841
29 29
1

Prime factors of 3364 are 2,29. Prime factorization of 3364 in exponential form is:

3364 = 22×292

Prime Factorization of 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2,5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

∴ So by taking common prime factors GCF of 3364 and 3370 is 2

Greatest Common Factor of 3364 and 3370 by matching factors method

Factors of 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1,2,4,29,58,116,841,1682,3364

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1,2,5,10,337,674,1685,3370

Greatest Common Factor

We found the factors and prime factorization of 3364 and 3370. The biggest common factor number is the GCF number.
So the greatest common factor 3364 and 3370 is 2.

Also check out the Least Common Multiple of 3364 and 3370

Properties of GCF 3364 and 3370

(i) The GCF of 3364 and 3370 is associative

GCF of 3364 and 3370 = GCF of 3370 and 3364

Related Greatest Common Factor of 3364

Related Greatest Common Factor of 3370

Frequently Asked Questions on GCF of 3364 and 3370

1. What is the GCF of 3364 and 3370?

Answer: GCF of 3364 and 3370 is 2.

2. What are the Factors of 3364?

Answer: Factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364. There are 9 integers that are factors of 3364. The greatest factor of 3364 is 3364.

3. What are the Factors of 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

4. How to Find the GCF of 3364 and 3370?

Answer:

Greatest Common Factor of 3364 and 3370 = 2

Step 1: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 3370

3370 = 2 x 5 x 337

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3364 and 3370 is 2