Greatest Common Factor of 9189 and 9193

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 9189, 9193 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9189 and 9193 is 1.

GCF(9189,9193) = 1

GCF of 9189 and 9193

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

GCF of:
and

Greatest Common Factor of 9189 and 9193

GCF of 9189 and 9193 is 1

Prime Factorization of 9189


3 9189
3 3063
1021 1021
1

Prime factors of 9189 are 3,1021. Prime factorization of 9189 in exponential form is:

9189 = 32×10211

Prime Factorization of 9193


29 9193
317 317
1

Prime factors of 9193 are 29,317. Prime factorization of 9193 in exponential form is:

9193 = 291×3171

∴ So by taking common prime factors GCF of 9189 and 9193 is 1

Greatest Common Factor of 9189 and 9193 by matching factors method

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1,3,9,1021,3063,9189

Factors of 9193

List of positive integer factors of 9193 that divides 9193 without a remainder.

1,29,317,9193

Greatest Common Factor

We found the factors and prime factorization of 9189 and 9193. The biggest common factor number is the GCF number.
So the greatest common factor 9189 and 9193 is 1.

Also check out the Least Common Multiple of 9189 and 9193

Properties of GCF 9189 and 9193

(i) The GCF of 9189 and 9193 is associative

GCF of 9189 and 9193 = GCF of 9193 and 9189

Frequently Asked Questions on GCF of 9189 and 9193

1. What is the GCF of 9189 and 9193?

Answer: GCF of 9189 and 9193 is 1.

2. What are the Factors of 9189?

Answer: Factors of 9189 are 1, 3, 9, 1021, 3063, 9189. There are 6 integers that are factors of 9189. The greatest factor of 9189 is 9189.

3. What are the Factors of 9193?

Answer: Factors of 9193 are 1, 29, 317, 9193. There are 4 integers that are factors of 9193. The greatest factor of 9193 is 9193.

4. How to Find the GCF of 9189 and 9193?

Answer:

Greatest Common Factor of 9189 and 9193 = 1

Step 1: Find the prime factorization of 9189

9189 = 3 x 3 x 1021

Step 2: Find the prime factorization of 9193

9193 = 29 x 317

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 9189 and 9193 is 1