Greatest Common Factor of 6189 and 6192

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 6189, 6192 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6189 and 6192 is 3.

GCF(6189,6192) = 3

GCF of 6189 and 6192

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

GCF of:
and

Greatest Common Factor of 6189 and 6192

GCF of 6189 and 6192 is 3

Prime Factorization of 6189


3 6189
2063 2063
1

Prime factors of 6189 are 3,2063. Prime factorization of 6189 in exponential form is:

6189 = 31×20631

Prime Factorization of 6192


2 6192
2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 6192 are 2,3,43. Prime factorization of 6192 in exponential form is:

6192 = 24×32×431

∴ So by taking common prime factors GCF of 6189 and 6192 is 3

Greatest Common Factor of 6189 and 6192 by matching factors method

Factors of 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1,3,2063,6189

Factors of 6192

List of positive integer factors of 6192 that divides 6192 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192

Greatest Common Factor

We found the factors and prime factorization of 6189 and 6192. The biggest common factor number is the GCF number.
So the greatest common factor 6189 and 6192 is 3.

Also check out the Least Common Multiple of 6189 and 6192

Properties of GCF 6189 and 6192

(i) The GCF of 6189 and 6192 is associative

GCF of 6189 and 6192 = GCF of 6192 and 6189

Related Greatest Common Factor of 6189

Related Greatest Common Factor of 6192

Frequently Asked Questions on GCF of 6189 and 6192

1. What is the GCF of 6189 and 6192?

Answer: GCF of 6189 and 6192 is 3.

2. What are the Factors of 6189?

Answer: Factors of 6189 are 1, 3, 2063, 6189. There are 4 integers that are factors of 6189. The greatest factor of 6189 is 6189.

3. What are the Factors of 6192?

Answer: Factors of 6192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192. There are 30 integers that are factors of 6192. The greatest factor of 6192 is 6192.

4. How to Find the GCF of 6189 and 6192?

Answer:

Greatest Common Factor of 6189 and 6192 = 3

Step 1: Find the prime factorization of 6189

6189 = 3 x 2063

Step 2: Find the prime factorization of 6192

6192 = 2 x 2 x 2 x 2 x 3 x 3 x 43

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 6189 and 6192 is 3