Greatest Common Factor of 189 and 195

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 189, 195 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 189 and 195 is 3.

GCF(189,195) = 3

GCF of 189 and 195

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

GCF of:
and

Greatest Common Factor of 189 and 195

GCF of 189 and 195 is 3

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Prime Factorization of 195


3 195
5 65
13 13
1

Prime factors of 195 are 3,5,13. Prime factorization of 195 in exponential form is:

195 = 31×51×131

∴ So by taking common prime factors GCF of 189 and 195 is 3

Greatest Common Factor of 189 and 195 by matching factors method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors and prime factorization of 189 and 195. The biggest common factor number is the GCF number.
So the greatest common factor 189 and 195 is 3.

Also check out the Least Common Multiple of 189 and 195

Properties of GCF 189 and 195

(i) The GCF of 189 and 195 is associative

GCF of 189 and 195 = GCF of 195 and 189

Related Greatest Common Factor of 189

Related Greatest Common Factor of 195

Frequently Asked Questions on GCF of 189 and 195

1. What is the GCF of 189 and 195?

Answer: GCF of 189 and 195 is 3.

2. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

3. What are the Factors of 195?

Answer: Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. There are 8 integers that are factors of 195. The greatest factor of 195 is 195.

4. How to Find the GCF of 189 and 195?

Answer:

Greatest Common Factor of 189 and 195 = 3

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 195

195 = 3 x 5 x 13

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 189 and 195 is 3