Greatest Common Factor of 3441 and 3444

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 3441, 3444 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3441 and 3444 is 3.

GCF(3441,3444) = 3

GCF of 3441 and 3444

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

GCF of:
and

Greatest Common Factor of 3441 and 3444

GCF of 3441 and 3444 is 3

Prime Factorization of 3441


3 3441
31 1147
37 37
1

Prime factors of 3441 are 3,31,37. Prime factorization of 3441 in exponential form is:

3441 = 31×311×371

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

∴ So by taking common prime factors GCF of 3441 and 3444 is 3

Greatest Common Factor of 3441 and 3444 by matching factors method

Factors of 3441

List of positive integer factors of 3441 that divides 3441 without a remainder.

1,3,31,37,93,111,1147,3441

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Greatest Common Factor

We found the factors and prime factorization of 3441 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3441 and 3444 is 3.

Also check out the Least Common Multiple of 3441 and 3444

Properties of GCF 3441 and 3444

(i) The GCF of 3441 and 3444 is associative

GCF of 3441 and 3444 = GCF of 3444 and 3441

Related Greatest Common Factor of 3441

Related Greatest Common Factor of 3444

Frequently Asked Questions on GCF of 3441 and 3444

1. What is the GCF of 3441 and 3444?

Answer: GCF of 3441 and 3444 is 3.

2. What are the Factors of 3441?

Answer: Factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441. There are 8 integers that are factors of 3441. The greatest factor of 3441 is 3441.

3. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

4. How to Find the GCF of 3441 and 3444?

Answer:

Greatest Common Factor of 3441 and 3444 = 3

Step 1: Find the prime factorization of 3441

3441 = 3 x 31 x 37

Step 2: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3441 and 3444 is 3