Greatest Common Factor of 6204 and 6210

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 6204, 6210 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6204 and 6210 is 6.

GCF(6204,6210) = 6

GCF of 6204 and 6210

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

GCF of:
and

Greatest Common Factor of 6204 and 6210

GCF of 6204 and 6210 is 6

Prime Factorization of 6204


2 6204
2 3102
3 1551
11 517
47 47
1

Prime factors of 6204 are 2,3,11,47. Prime factorization of 6204 in exponential form is:

6204 = 22×31×111×471

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

∴ So by taking common prime factors GCF of 6204 and 6210 is 6

Greatest Common Factor of 6204 and 6210 by matching factors method

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

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

Greatest Common Factor

We found the factors and prime factorization of 6204 and 6210. The biggest common factor number is the GCF number.
So the greatest common factor 6204 and 6210 is 6.

Also check out the Least Common Multiple of 6204 and 6210

Properties of GCF 6204 and 6210

(i) The GCF of 6204 and 6210 is associative

GCF of 6204 and 6210 = GCF of 6210 and 6204

Related Greatest Common Factor of 6204

Related Greatest Common Factor of 6210

Frequently Asked Questions on GCF of 6204 and 6210

1. What is the GCF of 6204 and 6210?

Answer: GCF of 6204 and 6210 is 6.

2. What are the Factors of 6204?

Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.

3. 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.

4. How to Find the GCF of 6204 and 6210?

Answer:

Greatest Common Factor of 6204 and 6210 = 6

Step 1: Find the prime factorization of 6204

6204 = 2 x 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 6210

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6204 and 6210 is 6