Greatest Common Factor of 6222 and 6225

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 6222, 6225 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6222 and 6225 is 3.

GCF(6222,6225) = 3

GCF of 6222 and 6225

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

GCF of:
and

Greatest Common Factor of 6222 and 6225

GCF of 6222 and 6225 is 3

Prime Factorization of 6222


2 6222
3 3111
17 1037
61 61
1

Prime factors of 6222 are 2,3,17,61. Prime factorization of 6222 in exponential form is:

6222 = 21×31×171×611

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

∴ So by taking common prime factors GCF of 6222 and 6225 is 3

Greatest Common Factor of 6222 and 6225 by matching factors method

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222

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

Greatest Common Factor

We found the factors and prime factorization of 6222 and 6225. The biggest common factor number is the GCF number.
So the greatest common factor 6222 and 6225 is 3.

Also check out the Least Common Multiple of 6222 and 6225

Properties of GCF 6222 and 6225

(i) The GCF of 6222 and 6225 is associative

GCF of 6222 and 6225 = GCF of 6225 and 6222

Related Greatest Common Factor of 6222

Related Greatest Common Factor of 6225

Frequently Asked Questions on GCF of 6222 and 6225

1. What is the GCF of 6222 and 6225?

Answer: GCF of 6222 and 6225 is 3.

2. What are the Factors of 6222?

Answer: Factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222. There are 16 integers that are factors of 6222. The greatest factor of 6222 is 6222.

3. 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.

4. How to Find the GCF of 6222 and 6225?

Answer:

Greatest Common Factor of 6222 and 6225 = 3

Step 1: Find the prime factorization of 6222

6222 = 2 x 3 x 17 x 61

Step 2: Find the prime factorization of 6225

6225 = 3 x 5 x 5 x 83

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 6222 and 6225 is 3