Greatest Common Factor of 6198 and 6201

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 6198, 6201 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6198 and 6201 is 3.

GCF(6198,6201) = 3

GCF of 6198 and 6201

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

GCF of:
and

Greatest Common Factor of 6198 and 6201

GCF of 6198 and 6201 is 3

Prime Factorization of 6198


2 6198
3 3099
1033 1033
1

Prime factors of 6198 are 2,3,1033. Prime factorization of 6198 in exponential form is:

6198 = 21×31×10331

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

∴ So by taking common prime factors GCF of 6198 and 6201 is 3

Greatest Common Factor of 6198 and 6201 by matching factors method

Factors of 6198

List of positive integer factors of 6198 that divides 6198 without a remainder.

1,2,3,6,1033,2066,3099,6198

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

Greatest Common Factor

We found the factors and prime factorization of 6198 and 6201. The biggest common factor number is the GCF number.
So the greatest common factor 6198 and 6201 is 3.

Also check out the Least Common Multiple of 6198 and 6201

Properties of GCF 6198 and 6201

(i) The GCF of 6198 and 6201 is associative

GCF of 6198 and 6201 = GCF of 6201 and 6198

Related Greatest Common Factor of 6198

Related Greatest Common Factor of 6201

Frequently Asked Questions on GCF of 6198 and 6201

1. What is the GCF of 6198 and 6201?

Answer: GCF of 6198 and 6201 is 3.

2. What are the Factors of 6198?

Answer: Factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, 6198. There are 8 integers that are factors of 6198. The greatest factor of 6198 is 6198.

3. 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.

4. How to Find the GCF of 6198 and 6201?

Answer:

Greatest Common Factor of 6198 and 6201 = 3

Step 1: Find the prime factorization of 6198

6198 = 2 x 3 x 1033

Step 2: Find the prime factorization of 6201

6201 = 3 x 3 x 13 x 53

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 6198 and 6201 is 3