Greatest Common Factor of 6243 and 6246

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, 6246 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6243 and 6246 is 3.

GCF(6243,6246) = 3

GCF of 6243 and 6246

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

GCF of:
and

Greatest Common Factor of 6243 and 6246

GCF of 6243 and 6246 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 6246


2 6246
3 3123
3 1041
347 347
1

Prime factors of 6246 are 2,3,347. Prime factorization of 6246 in exponential form is:

6246 = 21×32×3471

∴ So by taking common prime factors GCF of 6243 and 6246 is 3

Greatest Common Factor of 6243 and 6246 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 6246

List of positive integer factors of 6246 that divides 6246 without a remainder.

1,2,3,6,9,18,347,694,1041,2082,3123,6246

Greatest Common Factor

We found the factors and prime factorization of 6243 and 6246. The biggest common factor number is the GCF number.
So the greatest common factor 6243 and 6246 is 3.

Also check out the Least Common Multiple of 6243 and 6246

Properties of GCF 6243 and 6246

(i) The GCF of 6243 and 6246 is associative

GCF of 6243 and 6246 = GCF of 6246 and 6243

Frequently Asked Questions on GCF of 6243 and 6246

1. What is the GCF of 6243 and 6246?

Answer: GCF of 6243 and 6246 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 6246?

Answer: Factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246. There are 12 integers that are factors of 6246. The greatest factor of 6246 is 6246.

4. How to Find the GCF of 6243 and 6246?

Answer:

Greatest Common Factor of 6243 and 6246 = 3

Step 1: Find the prime factorization of 6243

6243 = 3 x 2081

Step 2: Find the prime factorization of 6246

6246 = 2 x 3 x 3 x 347

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 6246 is 3