Greatest Common Factor of 6222 and 6224

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, 6224 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6222 and 6224 is 2.

GCF(6222,6224) = 2

GCF of 6222 and 6224

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

GCF of:
and

Greatest Common Factor of 6222 and 6224

GCF of 6222 and 6224 is 2

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 6224


2 6224
2 3112
2 1556
2 778
389 389
1

Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:

6224 = 24×3891

∴ So by taking common prime factors GCF of 6222 and 6224 is 2

Greatest Common Factor of 6222 and 6224 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 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1,2,4,8,16,389,778,1556,3112,6224

Greatest Common Factor

We found the factors and prime factorization of 6222 and 6224. The biggest common factor number is the GCF number.
So the greatest common factor 6222 and 6224 is 2.

Also check out the Least Common Multiple of 6222 and 6224

Properties of GCF 6222 and 6224

(i) The GCF of 6222 and 6224 is associative

GCF of 6222 and 6224 = GCF of 6224 and 6222

Related Greatest Common Factor of 6222

Related Greatest Common Factor of 6224

Frequently Asked Questions on GCF of 6222 and 6224

1. What is the GCF of 6222 and 6224?

Answer: GCF of 6222 and 6224 is 2.

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 6224?

Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.

4. How to Find the GCF of 6222 and 6224?

Answer:

Greatest Common Factor of 6222 and 6224 = 2

Step 1: Find the prime factorization of 6222

6222 = 2 x 3 x 17 x 61

Step 2: Find the prime factorization of 6224

6224 = 2 x 2 x 2 x 2 x 389

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 6222 and 6224 is 2