Greatest Common Factor of 6216 and 6223

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, 6223 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6216 and 6223 is 7.

GCF(6216,6223) = 7

GCF of 6216 and 6223

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

GCF of:
and

Greatest Common Factor of 6216 and 6223

GCF of 6216 and 6223 is 7

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 6223


7 6223
7 889
127 127
1

Prime factors of 6223 are 7,127. Prime factorization of 6223 in exponential form is:

6223 = 72×1271

∴ So by taking common prime factors GCF of 6216 and 6223 is 7

Greatest Common Factor of 6216 and 6223 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 6223

List of positive integer factors of 6223 that divides 6223 without a remainder.

1,7,49,127,889,6223

Greatest Common Factor

We found the factors and prime factorization of 6216 and 6223. The biggest common factor number is the GCF number.
So the greatest common factor 6216 and 6223 is 7.

Also check out the Least Common Multiple of 6216 and 6223

Properties of GCF 6216 and 6223

(i) The GCF of 6216 and 6223 is associative

GCF of 6216 and 6223 = GCF of 6223 and 6216

Related Greatest Common Factor of 6216

Related Greatest Common Factor of 6223

Frequently Asked Questions on GCF of 6216 and 6223

1. What is the GCF of 6216 and 6223?

Answer: GCF of 6216 and 6223 is 7.

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 6223?

Answer: Factors of 6223 are 1, 7, 49, 127, 889, 6223. There are 6 integers that are factors of 6223. The greatest factor of 6223 is 6223.

4. How to Find the GCF of 6216 and 6223?

Answer:

Greatest Common Factor of 6216 and 6223 = 7

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 6223

6223 = 7 x 7 x 127

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6216 and 6223 is 7