Greatest Common Factor of 10188 and 10189

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 10188, 10189 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10188 and 10189 is 1.

GCF(10188,10189) = 1

GCF of 10188 and 10189

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

GCF of:
and

Greatest Common Factor of 10188 and 10189

GCF of 10188 and 10189 is 1

Prime Factorization of 10188


2 10188
2 5094
3 2547
3 849
283 283
1

Prime factors of 10188 are 2,3,283. Prime factorization of 10188 in exponential form is:

10188 = 22×32×2831

Prime Factorization of 10189


23 10189
443 443
1

Prime factors of 10189 are 23,443. Prime factorization of 10189 in exponential form is:

10189 = 231×4431

∴ So by taking common prime factors GCF of 10188 and 10189 is 1

Greatest Common Factor of 10188 and 10189 by matching factors method

Factors of 10188

List of positive integer factors of 10188 that divides 10188 without a remainder.

1,2,3,4,6,9,12,18,36,283,566,849,1132,1698,2547,3396,5094,10188

Factors of 10189

List of positive integer factors of 10189 that divides 10189 without a remainder.

1,23,443,10189

Greatest Common Factor

We found the factors and prime factorization of 10188 and 10189. The biggest common factor number is the GCF number.
So the greatest common factor 10188 and 10189 is 1.

Also check out the Least Common Multiple of 10188 and 10189

Properties of GCF 10188 and 10189

(i) The GCF of 10188 and 10189 is associative

GCF of 10188 and 10189 = GCF of 10189 and 10188

Related Greatest Common Factor of 10188

Related Greatest Common Factor of 10189

Frequently Asked Questions on GCF of 10188 and 10189

1. What is the GCF of 10188 and 10189?

Answer: GCF of 10188 and 10189 is 1.

2. What are the Factors of 10188?

Answer: Factors of 10188 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 10188. There are 18 integers that are factors of 10188. The greatest factor of 10188 is 10188.

3. What are the Factors of 10189?

Answer: Factors of 10189 are 1, 23, 443, 10189. There are 4 integers that are factors of 10189. The greatest factor of 10189 is 10189.

4. How to Find the GCF of 10188 and 10189?

Answer:

Greatest Common Factor of 10188 and 10189 = 1

Step 1: Find the prime factorization of 10188

10188 = 2 x 2 x 3 x 3 x 283

Step 2: Find the prime factorization of 10189

10189 = 23 x 443

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 10188 and 10189 is 1