Greatest Common Factor of 6209 and 6213

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, 6213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6209 and 6213 is 1.

GCF(6209,6213) = 1

GCF of 6209 and 6213

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

GCF of:
and

Greatest Common Factor of 6209 and 6213

GCF of 6209 and 6213 is 1

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 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

∴ So by taking common prime factors GCF of 6209 and 6213 is 1

Greatest Common Factor of 6209 and 6213 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 6213

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

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

Greatest Common Factor

We found the factors and prime factorization of 6209 and 6213. The biggest common factor number is the GCF number.
So the greatest common factor 6209 and 6213 is 1.

Also check out the Least Common Multiple of 6209 and 6213

Properties of GCF 6209 and 6213

(i) The GCF of 6209 and 6213 is associative

GCF of 6209 and 6213 = GCF of 6213 and 6209

Related Greatest Common Factor of 6209

Related Greatest Common Factor of 6213

Frequently Asked Questions on GCF of 6209 and 6213

1. What is the GCF of 6209 and 6213?

Answer: GCF of 6209 and 6213 is 1.

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 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.

4. How to Find the GCF of 6209 and 6213?

Answer:

Greatest Common Factor of 6209 and 6213 = 1

Step 1: Find the prime factorization of 6209

6209 = 7 x 887

Step 2: Find the prime factorization of 6213

6213 = 3 x 19 x 109

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6209 and 6213 is 1