Greatest Common Factor of 6209 and 6216

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 6209, 6216 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6209 and 6216 is 7.

GCF(6209,6216) = 7

GCF of 6209 and 6216

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

GCF of:
and

Greatest Common Factor of 6209 and 6216

GCF of 6209 and 6216 is 7

Prime Factorization of 6209


7 6209
887 887
1

Prime factors of 6209 are 7,887. Prime factorization of 6209 in exponential form is:

6209 = 71×8871

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

∴ So by taking common prime factors GCF of 6209 and 6216 is 7

Greatest Common Factor of 6209 and 6216 by matching factors method

Factors of 6209

List of positive integer factors of 6209 that divides 6209 without a remainder.

1,7,887,6209

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

Greatest Common Factor

We found the factors and prime factorization of 6209 and 6216. The biggest common factor number is the GCF number.
So the greatest common factor 6209 and 6216 is 7.

Also check out the Least Common Multiple of 6209 and 6216

Properties of GCF 6209 and 6216

(i) The GCF of 6209 and 6216 is associative

GCF of 6209 and 6216 = GCF of 6216 and 6209

Related Greatest Common Factor of 6209

Related Greatest Common Factor of 6216

Frequently Asked Questions on GCF of 6209 and 6216

1. What is the GCF of 6209 and 6216?

Answer: GCF of 6209 and 6216 is 7.

2. What are the Factors of 6209?

Answer: Factors of 6209 are 1, 7, 887, 6209. There are 4 integers that are factors of 6209. The greatest factor of 6209 is 6209.

3. 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.

4. How to Find the GCF of 6209 and 6216?

Answer:

Greatest Common Factor of 6209 and 6216 = 7

Step 1: Find the prime factorization of 6209

6209 = 7 x 887

Step 2: Find the prime factorization of 6216

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

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 6209 and 6216 is 7