Greatest Common Factor of 6231 and 6234

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 6231, 6234 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6231 and 6234 is 3.

GCF(6231,6234) = 3

GCF of 6231 and 6234

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

GCF of:
and

Greatest Common Factor of 6231 and 6234

GCF of 6231 and 6234 is 3

Prime Factorization of 6231


3 6231
31 2077
67 67
1

Prime factors of 6231 are 3,31,67. Prime factorization of 6231 in exponential form is:

6231 = 31×311×671

Prime Factorization of 6234


2 6234
3 3117
1039 1039
1

Prime factors of 6234 are 2,3,1039. Prime factorization of 6234 in exponential form is:

6234 = 21×31×10391

∴ So by taking common prime factors GCF of 6231 and 6234 is 3

Greatest Common Factor of 6231 and 6234 by matching factors method

Factors of 6231

List of positive integer factors of 6231 that divides 6231 without a remainder.

1,3,31,67,93,201,2077,6231

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1,2,3,6,1039,2078,3117,6234

Greatest Common Factor

We found the factors and prime factorization of 6231 and 6234. The biggest common factor number is the GCF number.
So the greatest common factor 6231 and 6234 is 3.

Also check out the Least Common Multiple of 6231 and 6234

Properties of GCF 6231 and 6234

(i) The GCF of 6231 and 6234 is associative

GCF of 6231 and 6234 = GCF of 6234 and 6231

Related Greatest Common Factor of 6231

Related Greatest Common Factor of 6234

Frequently Asked Questions on GCF of 6231 and 6234

1. What is the GCF of 6231 and 6234?

Answer: GCF of 6231 and 6234 is 3.

2. What are the Factors of 6231?

Answer: Factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231. There are 8 integers that are factors of 6231. The greatest factor of 6231 is 6231.

3. What are the Factors of 6234?

Answer: Factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234. There are 8 integers that are factors of 6234. The greatest factor of 6234 is 6234.

4. How to Find the GCF of 6231 and 6234?

Answer:

Greatest Common Factor of 6231 and 6234 = 3

Step 1: Find the prime factorization of 6231

6231 = 3 x 31 x 67

Step 2: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

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 6231 and 6234 is 3