Greatest Common Factor of 3444 and 3449

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 3444, 3449 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3444 and 3449 is 1.

GCF(3444,3449) = 1

GCF of 3444 and 3449

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

GCF of:
and

Greatest Common Factor of 3444 and 3449

GCF of 3444 and 3449 is 1

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

Prime Factorization of 3449


3449 3449
1

Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:

3449 = 34491

∴ So by taking common prime factors GCF of 3444 and 3449 is 1

Greatest Common Factor of 3444 and 3449 by matching factors method

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

Factors of 3449

List of positive integer factors of 3449 that divides 3449 without a remainder.

1,3449

Greatest Common Factor

We found the factors and prime factorization of 3444 and 3449. The biggest common factor number is the GCF number.
So the greatest common factor 3444 and 3449 is 1.

Also check out the Least Common Multiple of 3444 and 3449

Properties of GCF 3444 and 3449

(i) The GCF of 3444 and 3449 is associative

GCF of 3444 and 3449 = GCF of 3449 and 3444

Related Greatest Common Factor of 3444

Related Greatest Common Factor of 3449

Frequently Asked Questions on GCF of 3444 and 3449

1. What is the GCF of 3444 and 3449?

Answer: GCF of 3444 and 3449 is 1.

2. 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.

3. What are the Factors of 3449?

Answer: Factors of 3449 are 1, 3449. There are 2 integers that are factors of 3449. The greatest factor of 3449 is 3449.

4. How to Find the GCF of 3444 and 3449?

Answer:

Greatest Common Factor of 3444 and 3449 = 1

Step 1: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 3449

3449 = 3449

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3444 and 3449 is 1