Greatest Common Factor of 1189 and 1197

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 1189, 1197 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1189 and 1197 is 1.

GCF(1189,1197) = 1

GCF of 1189 and 1197

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

GCF of:
and

Greatest Common Factor of 1189 and 1197

GCF of 1189 and 1197 is 1

Prime Factorization of 1189


29 1189
41 41
1

Prime factors of 1189 are 29,41. Prime factorization of 1189 in exponential form is:

1189 = 291×411

Prime Factorization of 1197


3 1197
3 399
7 133
19 19
1

Prime factors of 1197 are 3,7,19. Prime factorization of 1197 in exponential form is:

1197 = 32×71×191

∴ So by taking common prime factors GCF of 1189 and 1197 is 1

Greatest Common Factor of 1189 and 1197 by matching factors method

Factors of 1189

List of positive integer factors of 1189 that divides 1189 without a remainder.

1,29,41,1189

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1,3,7,9,19,21,57,63,133,171,399,1197

Greatest Common Factor

We found the factors and prime factorization of 1189 and 1197. The biggest common factor number is the GCF number.
So the greatest common factor 1189 and 1197 is 1.

Also check out the Least Common Multiple of 1189 and 1197

Properties of GCF 1189 and 1197

(i) The GCF of 1189 and 1197 is associative

GCF of 1189 and 1197 = GCF of 1197 and 1189

Related Greatest Common Factor of 1189

Related Greatest Common Factor of 1197

Frequently Asked Questions on GCF of 1189 and 1197

1. What is the GCF of 1189 and 1197?

Answer: GCF of 1189 and 1197 is 1.

2. What are the Factors of 1189?

Answer: Factors of 1189 are 1, 29, 41, 1189. There are 4 integers that are factors of 1189. The greatest factor of 1189 is 1189.

3. What are the Factors of 1197?

Answer: Factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197. There are 12 integers that are factors of 1197. The greatest factor of 1197 is 1197.

4. How to Find the GCF of 1189 and 1197?

Answer:

Greatest Common Factor of 1189 and 1197 = 1

Step 1: Find the prime factorization of 1189

1189 = 29 x 41

Step 2: Find the prime factorization of 1197

1197 = 3 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 = = 1

Step 4: Therefore, the greatest common factor of 1189 and 1197 is 1