Greatest Common Factor of 3189 and 3192

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 3189, 3192 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3189 and 3192 is 3.

GCF(3189,3192) = 3

GCF of 3189 and 3192

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

GCF of:
and

Greatest Common Factor of 3189 and 3192

GCF of 3189 and 3192 is 3

Prime Factorization of 3189


3 3189
1063 1063
1

Prime factors of 3189 are 3,1063. Prime factorization of 3189 in exponential form is:

3189 = 31×10631

Prime Factorization of 3192


2 3192
2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 3192 are 2,3,7,19. Prime factorization of 3192 in exponential form is:

3192 = 23×31×71×191

∴ So by taking common prime factors GCF of 3189 and 3192 is 3

Greatest Common Factor of 3189 and 3192 by matching factors method

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1,3,1063,3189

Factors of 3192

List of positive integer factors of 3192 that divides 3192 without a remainder.

1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192

Greatest Common Factor

We found the factors and prime factorization of 3189 and 3192. The biggest common factor number is the GCF number.
So the greatest common factor 3189 and 3192 is 3.

Also check out the Least Common Multiple of 3189 and 3192

Properties of GCF 3189 and 3192

(i) The GCF of 3189 and 3192 is associative

GCF of 3189 and 3192 = GCF of 3192 and 3189

Related Greatest Common Factor of 3189

Related Greatest Common Factor of 3192

Frequently Asked Questions on GCF of 3189 and 3192

1. What is the GCF of 3189 and 3192?

Answer: GCF of 3189 and 3192 is 3.

2. What are the Factors of 3189?

Answer: Factors of 3189 are 1, 3, 1063, 3189. There are 4 integers that are factors of 3189. The greatest factor of 3189 is 3189.

3. What are the Factors of 3192?

Answer: Factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192. There are 32 integers that are factors of 3192. The greatest factor of 3192 is 3192.

4. How to Find the GCF of 3189 and 3192?

Answer:

Greatest Common Factor of 3189 and 3192 = 3

Step 1: Find the prime factorization of 3189

3189 = 3 x 1063

Step 2: Find the prime factorization of 3192

3192 = 2 x 2 x 2 x 3 x 7 x 19

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 3189 and 3192 is 3