Greatest Common Factor of 3338 and 3344

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 3338, 3344 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3338 and 3344 is 2.

GCF(3338,3344) = 2

GCF of 3338 and 3344

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

GCF of:
and

Greatest Common Factor of 3338 and 3344

GCF of 3338 and 3344 is 2

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

Prime Factorization of 3344


2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 3344 are 2,11,19. Prime factorization of 3344 in exponential form is:

3344 = 24×111×191

∴ So by taking common prime factors GCF of 3338 and 3344 is 2

Greatest Common Factor of 3338 and 3344 by matching factors method

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1,2,1669,3338

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Greatest Common Factor

We found the factors and prime factorization of 3338 and 3344. The biggest common factor number is the GCF number.
So the greatest common factor 3338 and 3344 is 2.

Also check out the Least Common Multiple of 3338 and 3344

Properties of GCF 3338 and 3344

(i) The GCF of 3338 and 3344 is associative

GCF of 3338 and 3344 = GCF of 3344 and 3338

Related Greatest Common Factor of 3338

Related Greatest Common Factor of 3344

Frequently Asked Questions on GCF of 3338 and 3344

1. What is the GCF of 3338 and 3344?

Answer: GCF of 3338 and 3344 is 2.

2. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

3. What are the Factors of 3344?

Answer: Factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344. There are 20 integers that are factors of 3344. The greatest factor of 3344 is 3344.

4. How to Find the GCF of 3338 and 3344?

Answer:

Greatest Common Factor of 3338 and 3344 = 2

Step 1: Find the prime factorization of 3338

3338 = 2 x 1669

Step 2: Find the prime factorization of 3344

3344 = 2 x 2 x 2 x 2 x 11 x 19

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 3338 and 3344 is 2