Greatest Common Factor of 6225 and 6231

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 6225, 6231 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6225 and 6231 is 3.

GCF(6225,6231) = 3

GCF of 6225 and 6231

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

GCF of:
and

Greatest Common Factor of 6225 and 6231

GCF of 6225 and 6231 is 3

Prime Factorization of 6225


3 6225
5 2075
5 415
83 83
1

Prime factors of 6225 are 3,5,83. Prime factorization of 6225 in exponential form is:

6225 = 31×52×831

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

∴ So by taking common prime factors GCF of 6225 and 6231 is 3

Greatest Common Factor of 6225 and 6231 by matching factors method

Factors of 6225

List of positive integer factors of 6225 that divides 6225 without a remainder.

1,3,5,15,25,75,83,249,415,1245,2075,6225

Factors of 6231

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

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

Greatest Common Factor

We found the factors and prime factorization of 6225 and 6231. The biggest common factor number is the GCF number.
So the greatest common factor 6225 and 6231 is 3.

Also check out the Least Common Multiple of 6225 and 6231

Properties of GCF 6225 and 6231

(i) The GCF of 6225 and 6231 is associative

GCF of 6225 and 6231 = GCF of 6231 and 6225

Related Greatest Common Factor of 6225

Related Greatest Common Factor of 6231

Frequently Asked Questions on GCF of 6225 and 6231

1. What is the GCF of 6225 and 6231?

Answer: GCF of 6225 and 6231 is 3.

2. What are the Factors of 6225?

Answer: Factors of 6225 are 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225. There are 12 integers that are factors of 6225. The greatest factor of 6225 is 6225.

3. 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.

4. How to Find the GCF of 6225 and 6231?

Answer:

Greatest Common Factor of 6225 and 6231 = 3

Step 1: Find the prime factorization of 6225

6225 = 3 x 5 x 5 x 83

Step 2: Find the prime factorization of 6231

6231 = 3 x 31 x 67

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 6225 and 6231 is 3