Greatest Common Factor of 6201 and 6204

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 6201, 6204 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6201 and 6204 is 3.

GCF(6201,6204) = 3

GCF of 6201 and 6204

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

GCF of:
and

Greatest Common Factor of 6201 and 6204

GCF of 6201 and 6204 is 3

Prime Factorization of 6201


3 6201
3 2067
13 689
53 53
1

Prime factors of 6201 are 3,13,53. Prime factorization of 6201 in exponential form is:

6201 = 32×131×531

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

∴ So by taking common prime factors GCF of 6201 and 6204 is 3

Greatest Common Factor of 6201 and 6204 by matching factors method

Factors of 6201

List of positive integer factors of 6201 that divides 6201 without a remainder.

1,3,9,13,39,53,117,159,477,689,2067,6201

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

Greatest Common Factor

We found the factors and prime factorization of 6201 and 6204. The biggest common factor number is the GCF number.
So the greatest common factor 6201 and 6204 is 3.

Also check out the Least Common Multiple of 6201 and 6204

Properties of GCF 6201 and 6204

(i) The GCF of 6201 and 6204 is associative

GCF of 6201 and 6204 = GCF of 6204 and 6201

Related Greatest Common Factor of 6201

Related Greatest Common Factor of 6204

Frequently Asked Questions on GCF of 6201 and 6204

1. What is the GCF of 6201 and 6204?

Answer: GCF of 6201 and 6204 is 3.

2. What are the Factors of 6201?

Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.

3. 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.

4. How to Find the GCF of 6201 and 6204?

Answer:

Greatest Common Factor of 6201 and 6204 = 3

Step 1: Find the prime factorization of 6201

6201 = 3 x 3 x 13 x 53

Step 2: Find the prime factorization of 6204

6204 = 2 x 2 x 3 x 11 x 47

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 6201 and 6204 is 3