Greatest Common Factor of 6210 and 6214

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 6210, 6214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6210 and 6214 is 2.

GCF(6210,6214) = 2

GCF of 6210 and 6214

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

GCF of:
and

Greatest Common Factor of 6210 and 6214

GCF of 6210 and 6214 is 2

Prime Factorization of 6210


2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 6210 are 2,3,5,23. Prime factorization of 6210 in exponential form is:

6210 = 21×33×51×231

Prime Factorization of 6214


2 6214
13 3107
239 239
1

Prime factors of 6214 are 2,13,239. Prime factorization of 6214 in exponential form is:

6214 = 21×131×2391

∴ So by taking common prime factors GCF of 6210 and 6214 is 2

Greatest Common Factor of 6210 and 6214 by matching factors method

Factors of 6210

List of positive integer factors of 6210 that divides 6210 without a remainder.

1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors and prime factorization of 6210 and 6214. The biggest common factor number is the GCF number.
So the greatest common factor 6210 and 6214 is 2.

Also check out the Least Common Multiple of 6210 and 6214

Properties of GCF 6210 and 6214

(i) The GCF of 6210 and 6214 is associative

GCF of 6210 and 6214 = GCF of 6214 and 6210

Related Greatest Common Factor of 6210

Related Greatest Common Factor of 6214

Frequently Asked Questions on GCF of 6210 and 6214

1. What is the GCF of 6210 and 6214?

Answer: GCF of 6210 and 6214 is 2.

2. What are the Factors of 6210?

Answer: Factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210. There are 32 integers that are factors of 6210. The greatest factor of 6210 is 6210.

3. What are the Factors of 6214?

Answer: Factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214. There are 8 integers that are factors of 6214. The greatest factor of 6214 is 6214.

4. How to Find the GCF of 6210 and 6214?

Answer:

Greatest Common Factor of 6210 and 6214 = 2

Step 1: Find the prime factorization of 6210

6210 = 2 x 3 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 6214

6214 = 2 x 13 x 239

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6210 and 6214 is 2