Greatest Common Factor of 8043 and 8049

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 8043, 8049 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8043 and 8049 is 3.

GCF(8043,8049) = 3

GCF of 8043 and 8049

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

GCF of:
and

Greatest Common Factor of 8043 and 8049

GCF of 8043 and 8049 is 3

Prime Factorization of 8043


3 8043
7 2681
383 383
1

Prime factors of 8043 are 3,7,383. Prime factorization of 8043 in exponential form is:

8043 = 31×71×3831

Prime Factorization of 8049


3 8049
2683 2683
1

Prime factors of 8049 are 3,2683. Prime factorization of 8049 in exponential form is:

8049 = 31×26831

∴ So by taking common prime factors GCF of 8043 and 8049 is 3

Greatest Common Factor of 8043 and 8049 by matching factors method

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors and prime factorization of 8043 and 8049. The biggest common factor number is the GCF number.
So the greatest common factor 8043 and 8049 is 3.

Also check out the Least Common Multiple of 8043 and 8049

Properties of GCF 8043 and 8049

(i) The GCF of 8043 and 8049 is associative

GCF of 8043 and 8049 = GCF of 8049 and 8043

Related Greatest Common Factor of 8043

Related Greatest Common Factor of 8049

Frequently Asked Questions on GCF of 8043 and 8049

1. What is the GCF of 8043 and 8049?

Answer: GCF of 8043 and 8049 is 3.

2. What are the Factors of 8043?

Answer: Factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043. There are 8 integers that are factors of 8043. The greatest factor of 8043 is 8043.

3. What are the Factors of 8049?

Answer: Factors of 8049 are 1, 3, 2683, 8049. There are 4 integers that are factors of 8049. The greatest factor of 8049 is 8049.

4. How to Find the GCF of 8043 and 8049?

Answer:

Greatest Common Factor of 8043 and 8049 = 3

Step 1: Find the prime factorization of 8043

8043 = 3 x 7 x 383

Step 2: Find the prime factorization of 8049

8049 = 3 x 2683

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 8043 and 8049 is 3