Greatest Common Factor of 6216 and 6222

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 6216, 6222 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6216 and 6222 is 6.

GCF(6216,6222) = 6

GCF of 6216 and 6222

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

GCF of:
and

Greatest Common Factor of 6216 and 6222

GCF of 6216 and 6222 is 6

Prime Factorization of 6216


2 6216
2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 6216 are 2,3,7,37. Prime factorization of 6216 in exponential form is:

6216 = 23×31×71×371

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

∴ So by taking common prime factors GCF of 6216 and 6222 is 6

Greatest Common Factor of 6216 and 6222 by matching factors method

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

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

Greatest Common Factor

We found the factors and prime factorization of 6216 and 6222. The biggest common factor number is the GCF number.
So the greatest common factor 6216 and 6222 is 6.

Also check out the Least Common Multiple of 6216 and 6222

Properties of GCF 6216 and 6222

(i) The GCF of 6216 and 6222 is associative

GCF of 6216 and 6222 = GCF of 6222 and 6216

Related Greatest Common Factor of 6216

Related Greatest Common Factor of 6222

Frequently Asked Questions on GCF of 6216 and 6222

1. What is the GCF of 6216 and 6222?

Answer: GCF of 6216 and 6222 is 6.

2. What are the Factors of 6216?

Answer: Factors of 6216 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216. There are 32 integers that are factors of 6216. The greatest factor of 6216 is 6216.

3. 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.

4. How to Find the GCF of 6216 and 6222?

Answer:

Greatest Common Factor of 6216 and 6222 = 6

Step 1: Find the prime factorization of 6216

6216 = 2 x 2 x 2 x 3 x 7 x 37

Step 2: Find the prime factorization of 6222

6222 = 2 x 3 x 17 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6216 and 6222 is 6