Greatest Common Factor of 3364 and 3368

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, 3368 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3364 and 3368 is 4.

GCF(3364,3368) = 4

GCF of 3364 and 3368

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

GCF of:
and

Greatest Common Factor of 3364 and 3368

GCF of 3364 and 3368 is 4

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 3368


2 3368
2 1684
2 842
421 421
1

Prime factors of 3368 are 2,421. Prime factorization of 3368 in exponential form is:

3368 = 23×4211

∴ So by taking common prime factors GCF of 3364 and 3368 is 4

Greatest Common Factor of 3364 and 3368 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 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1,2,4,8,421,842,1684,3368

Greatest Common Factor

We found the factors and prime factorization of 3364 and 3368. The biggest common factor number is the GCF number.
So the greatest common factor 3364 and 3368 is 4.

Also check out the Least Common Multiple of 3364 and 3368

Properties of GCF 3364 and 3368

(i) The GCF of 3364 and 3368 is associative

GCF of 3364 and 3368 = GCF of 3368 and 3364

Related Greatest Common Factor of 3364

Related Greatest Common Factor of 3368

Frequently Asked Questions on GCF of 3364 and 3368

1. What is the GCF of 3364 and 3368?

Answer: GCF of 3364 and 3368 is 4.

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 3368?

Answer: Factors of 3368 are 1, 2, 4, 8, 421, 842, 1684, 3368. There are 8 integers that are factors of 3368. The greatest factor of 3368 is 3368.

4. How to Find the GCF of 3364 and 3368?

Answer:

Greatest Common Factor of 3364 and 3368 = 4

Step 1: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 3368

3368 = 2 x 2 x 2 x 421

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3364 and 3368 is 4