Greatest Common Factor of 3344 and 3352

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 3344, 3352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3344 and 3352 is 8.

GCF(3344,3352) = 8

GCF of 3344 and 3352

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

GCF of:
and

Greatest Common Factor of 3344 and 3352

GCF of 3344 and 3352 is 8

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

Prime Factorization of 3352


2 3352
2 1676
2 838
419 419
1

Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:

3352 = 23×4191

∴ So by taking common prime factors GCF of 3344 and 3352 is 8

Greatest Common Factor of 3344 and 3352 by matching factors method

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

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1,2,4,8,419,838,1676,3352

Greatest Common Factor

We found the factors and prime factorization of 3344 and 3352. The biggest common factor number is the GCF number.
So the greatest common factor 3344 and 3352 is 8.

Also check out the Least Common Multiple of 3344 and 3352

Properties of GCF 3344 and 3352

(i) The GCF of 3344 and 3352 is associative

GCF of 3344 and 3352 = GCF of 3352 and 3344

Related Greatest Common Factor of 3344

Related Greatest Common Factor of 3352

Frequently Asked Questions on GCF of 3344 and 3352

1. What is the GCF of 3344 and 3352?

Answer: GCF of 3344 and 3352 is 8.

2. 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.

3. What are the Factors of 3352?

Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.

4. How to Find the GCF of 3344 and 3352?

Answer:

Greatest Common Factor of 3344 and 3352 = 8

Step 1: Find the prime factorization of 3344

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

Step 2: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

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 3344 and 3352 is 8