Greatest Common Factor of 3362 and 3364

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 3362, 3364 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3362 and 3364 is 2.

GCF(3362,3364) = 2

GCF of 3362 and 3364

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

GCF of:
and

Greatest Common Factor of 3362 and 3364

GCF of 3362 and 3364 is 2

Prime Factorization of 3362


2 3362
41 1681
41 41
1

Prime factors of 3362 are 2,41. Prime factorization of 3362 in exponential form is:

3362 = 21×412

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

∴ So by taking common prime factors GCF of 3362 and 3364 is 2

Greatest Common Factor of 3362 and 3364 by matching factors method

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1,2,41,82,1681,3362

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

Greatest Common Factor

We found the factors and prime factorization of 3362 and 3364. The biggest common factor number is the GCF number.
So the greatest common factor 3362 and 3364 is 2.

Also check out the Least Common Multiple of 3362 and 3364

Properties of GCF 3362 and 3364

(i) The GCF of 3362 and 3364 is associative

GCF of 3362 and 3364 = GCF of 3364 and 3362

Related Greatest Common Factor of 3362

Related Greatest Common Factor of 3364

Frequently Asked Questions on GCF of 3362 and 3364

1. What is the GCF of 3362 and 3364?

Answer: GCF of 3362 and 3364 is 2.

2. What are the Factors of 3362?

Answer: Factors of 3362 are 1, 2, 41, 82, 1681, 3362. There are 6 integers that are factors of 3362. The greatest factor of 3362 is 3362.

3. 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.

4. How to Find the GCF of 3362 and 3364?

Answer:

Greatest Common Factor of 3362 and 3364 = 2

Step 1: Find the prime factorization of 3362

3362 = 2 x 41 x 41

Step 2: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

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 3362 and 3364 is 2