Greatest Common Factor of 4437 and 4443

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 4437, 4443 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4437 and 4443 is 3.

GCF(4437,4443) = 3

GCF of 4437 and 4443

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

GCF of:
and

Greatest Common Factor of 4437 and 4443

GCF of 4437 and 4443 is 3

Prime Factorization of 4437


3 4437
3 1479
17 493
29 29
1

Prime factors of 4437 are 3,17,29. Prime factorization of 4437 in exponential form is:

4437 = 32×171×291

Prime Factorization of 4443


3 4443
1481 1481
1

Prime factors of 4443 are 3,1481. Prime factorization of 4443 in exponential form is:

4443 = 31×14811

∴ So by taking common prime factors GCF of 4437 and 4443 is 3

Greatest Common Factor of 4437 and 4443 by matching factors method

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Factors of 4443

List of positive integer factors of 4443 that divides 4443 without a remainder.

1,3,1481,4443

Greatest Common Factor

We found the factors and prime factorization of 4437 and 4443. The biggest common factor number is the GCF number.
So the greatest common factor 4437 and 4443 is 3.

Also check out the Least Common Multiple of 4437 and 4443

Properties of GCF 4437 and 4443

(i) The GCF of 4437 and 4443 is associative

GCF of 4437 and 4443 = GCF of 4443 and 4437

Frequently Asked Questions on GCF of 4437 and 4443

1. What is the GCF of 4437 and 4443?

Answer: GCF of 4437 and 4443 is 3.

2. What are the Factors of 4437?

Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.

3. What are the Factors of 4443?

Answer: Factors of 4443 are 1, 3, 1481, 4443. There are 4 integers that are factors of 4443. The greatest factor of 4443 is 4443.

4. How to Find the GCF of 4437 and 4443?

Answer:

Greatest Common Factor of 4437 and 4443 = 3

Step 1: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

Step 2: Find the prime factorization of 4443

4443 = 3 x 1481

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 4437 and 4443 is 3