Greatest Common Factor of 6213 and 6219

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 6213, 6219 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6213 and 6219 is 3.

GCF(6213,6219) = 3

GCF of 6213 and 6219

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

GCF of:
and

Greatest Common Factor of 6213 and 6219

GCF of 6213 and 6219 is 3

Prime Factorization of 6213


3 6213
19 2071
109 109
1

Prime factors of 6213 are 3,19,109. Prime factorization of 6213 in exponential form is:

6213 = 31×191×1091

Prime Factorization of 6219


3 6219
3 2073
691 691
1

Prime factors of 6219 are 3,691. Prime factorization of 6219 in exponential form is:

6219 = 32×6911

∴ So by taking common prime factors GCF of 6213 and 6219 is 3

Greatest Common Factor of 6213 and 6219 by matching factors method

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1,3,19,57,109,327,2071,6213

Factors of 6219

List of positive integer factors of 6219 that divides 6219 without a remainder.

1,3,9,691,2073,6219

Greatest Common Factor

We found the factors and prime factorization of 6213 and 6219. The biggest common factor number is the GCF number.
So the greatest common factor 6213 and 6219 is 3.

Also check out the Least Common Multiple of 6213 and 6219

Properties of GCF 6213 and 6219

(i) The GCF of 6213 and 6219 is associative

GCF of 6213 and 6219 = GCF of 6219 and 6213

Related Greatest Common Factor of 6213

Related Greatest Common Factor of 6219

Frequently Asked Questions on GCF of 6213 and 6219

1. What is the GCF of 6213 and 6219?

Answer: GCF of 6213 and 6219 is 3.

2. What are the Factors of 6213?

Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.

3. What are the Factors of 6219?

Answer: Factors of 6219 are 1, 3, 9, 691, 2073, 6219. There are 6 integers that are factors of 6219. The greatest factor of 6219 is 6219.

4. How to Find the GCF of 6213 and 6219?

Answer:

Greatest Common Factor of 6213 and 6219 = 3

Step 1: Find the prime factorization of 6213

6213 = 3 x 19 x 109

Step 2: Find the prime factorization of 6219

6219 = 3 x 3 x 691

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 6213 and 6219 is 3