Greatest Common Factor of 6243 and 6249

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 6243, 6249 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6243 and 6249 is 3.

GCF(6243,6249) = 3

GCF of 6243 and 6249

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

GCF of:
and

Greatest Common Factor of 6243 and 6249

GCF of 6243 and 6249 is 3

Prime Factorization of 6243


3 6243
2081 2081
1

Prime factors of 6243 are 3,2081. Prime factorization of 6243 in exponential form is:

6243 = 31×20811

Prime Factorization of 6249


3 6249
2083 2083
1

Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:

6249 = 31×20831

∴ So by taking common prime factors GCF of 6243 and 6249 is 3

Greatest Common Factor of 6243 and 6249 by matching factors method

Factors of 6243

List of positive integer factors of 6243 that divides 6243 without a remainder.

1,3,2081,6243

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1,3,2083,6249

Greatest Common Factor

We found the factors and prime factorization of 6243 and 6249. The biggest common factor number is the GCF number.
So the greatest common factor 6243 and 6249 is 3.

Also check out the Least Common Multiple of 6243 and 6249

Properties of GCF 6243 and 6249

(i) The GCF of 6243 and 6249 is associative

GCF of 6243 and 6249 = GCF of 6249 and 6243

Related Greatest Common Factor of 6243

Related Greatest Common Factor of 6249

Frequently Asked Questions on GCF of 6243 and 6249

1. What is the GCF of 6243 and 6249?

Answer: GCF of 6243 and 6249 is 3.

2. What are the Factors of 6243?

Answer: Factors of 6243 are 1, 3, 2081, 6243. There are 4 integers that are factors of 6243. The greatest factor of 6243 is 6243.

3. What are the Factors of 6249?

Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.

4. How to Find the GCF of 6243 and 6249?

Answer:

Greatest Common Factor of 6243 and 6249 = 3

Step 1: Find the prime factorization of 6243

6243 = 3 x 2081

Step 2: Find the prime factorization of 6249

6249 = 3 x 2083

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 6243 and 6249 is 3