Greatest Common Factor of 3336 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 3336, 3344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3336 and 3344 is 8.

GCF(3336,3344) = 8

GCF of 3336 and 3344

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

GCF of:
and

Greatest Common Factor of 3336 and 3344

GCF of 3336 and 3344 is 8

Prime Factorization of 3336


2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 3336 are 2,3,139. Prime factorization of 3336 in exponential form is:

3336 = 23×31×1391

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 3336 and 3344 is 8

Greatest Common Factor of 3336 and 3344 by matching factors method

Factors of 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336

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 3336 and 3344. The biggest common factor number is the GCF number.
So the greatest common factor 3336 and 3344 is 8.

Also check out the Least Common Multiple of 3336 and 3344

Properties of GCF 3336 and 3344

(i) The GCF of 3336 and 3344 is associative

GCF of 3336 and 3344 = GCF of 3344 and 3336

Related Greatest Common Factor of 3336

Related Greatest Common Factor of 3344

Frequently Asked Questions on GCF of 3336 and 3344

1. What is the GCF of 3336 and 3344?

Answer: GCF of 3336 and 3344 is 8.

2. What are the Factors of 3336?

Answer: Factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. There are 16 integers that are factors of 3336. The greatest factor of 3336 is 3336.

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 3336 and 3344?

Answer:

Greatest Common Factor of 3336 and 3344 = 8

Step 1: Find the prime factorization of 3336

3336 = 2 x 2 x 2 x 3 x 139

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3336 and 3344 is 8