Greatest Common Factor of 189 and 197

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, 197 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 189 and 197 is 1.

GCF(189,197) = 1

GCF of 189 and 197

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

GCF of:
and

Greatest Common Factor of 189 and 197

GCF of 189 and 197 is 1

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 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

∴ So by taking common prime factors GCF of 189 and 197 is 1

Greatest Common Factor of 189 and 197 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 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors and prime factorization of 189 and 197. The biggest common factor number is the GCF number.
So the greatest common factor 189 and 197 is 1.

Also check out the Least Common Multiple of 189 and 197

Properties of GCF 189 and 197

(i) The GCF of 189 and 197 is associative

GCF of 189 and 197 = GCF of 197 and 189

Related Greatest Common Factor of 189

Related Greatest Common Factor of 197

Frequently Asked Questions on GCF of 189 and 197

1. What is the GCF of 189 and 197?

Answer: GCF of 189 and 197 is 1.

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 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

4. How to Find the GCF of 189 and 197?

Answer:

Greatest Common Factor of 189 and 197 = 1

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 197

197 = 197

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 189 and 197 is 1