Greatest Common Factor of 10443 and 10449

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 10443, 10449 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10443 and 10449 is 3.

GCF(10443,10449) = 3

GCF of 10443 and 10449

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

GCF of:
and

Greatest Common Factor of 10443 and 10449

GCF of 10443 and 10449 is 3

Prime Factorization of 10443


3 10443
59 3481
59 59
1

Prime factors of 10443 are 3,59. Prime factorization of 10443 in exponential form is:

10443 = 31×592

Prime Factorization of 10449


3 10449
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 10449 are 3,43. Prime factorization of 10449 in exponential form is:

10449 = 35×431

∴ So by taking common prime factors GCF of 10443 and 10449 is 3

Greatest Common Factor of 10443 and 10449 by matching factors method

Factors of 10443

List of positive integer factors of 10443 that divides 10443 without a remainder.

1,3,59,177,3481,10443

Factors of 10449

List of positive integer factors of 10449 that divides 10449 without a remainder.

1,3,9,27,43,81,129,243,387,1161,3483,10449

Greatest Common Factor

We found the factors and prime factorization of 10443 and 10449. The biggest common factor number is the GCF number.
So the greatest common factor 10443 and 10449 is 3.

Also check out the Least Common Multiple of 10443 and 10449

Properties of GCF 10443 and 10449

(i) The GCF of 10443 and 10449 is associative

GCF of 10443 and 10449 = GCF of 10449 and 10443

Related Greatest Common Factor of 10443

Related Greatest Common Factor of 10449

Frequently Asked Questions on GCF of 10443 and 10449

1. What is the GCF of 10443 and 10449?

Answer: GCF of 10443 and 10449 is 3.

2. What are the Factors of 10443?

Answer: Factors of 10443 are 1, 3, 59, 177, 3481, 10443. There are 6 integers that are factors of 10443. The greatest factor of 10443 is 10443.

3. What are the Factors of 10449?

Answer: Factors of 10449 are 1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449. There are 12 integers that are factors of 10449. The greatest factor of 10449 is 10449.

4. How to Find the GCF of 10443 and 10449?

Answer:

Greatest Common Factor of 10443 and 10449 = 3

Step 1: Find the prime factorization of 10443

10443 = 3 x 59 x 59

Step 2: Find the prime factorization of 10449

10449 = 3 x 3 x 3 x 3 x 3 x 43

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 10443 and 10449 is 3