Greatest Common Factor of 15183 and 15189

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 15183, 15189 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15183 and 15189 is 3.

GCF(15183,15189) = 3

GCF of 15183 and 15189

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

GCF of:
and

Greatest Common Factor of 15183 and 15189

GCF of 15183 and 15189 is 3

Prime Factorization of 15183


3 15183
3 5061
7 1687
241 241
1

Prime factors of 15183 are 3,7,241. Prime factorization of 15183 in exponential form is:

15183 = 32×71×2411

Prime Factorization of 15189


3 15189
61 5063
83 83
1

Prime factors of 15189 are 3,61,83. Prime factorization of 15189 in exponential form is:

15189 = 31×611×831

∴ So by taking common prime factors GCF of 15183 and 15189 is 3

Greatest Common Factor of 15183 and 15189 by matching factors method

Factors of 15183

List of positive integer factors of 15183 that divides 15183 without a remainder.

1,3,7,9,21,63,241,723,1687,2169,5061,15183

Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1,3,61,83,183,249,5063,15189

Greatest Common Factor

We found the factors and prime factorization of 15183 and 15189. The biggest common factor number is the GCF number.
So the greatest common factor 15183 and 15189 is 3.

Also check out the Least Common Multiple of 15183 and 15189

Properties of GCF 15183 and 15189

(i) The GCF of 15183 and 15189 is associative

GCF of 15183 and 15189 = GCF of 15189 and 15183

Related Greatest Common Factor of 15183

Related Greatest Common Factor of 15189

Frequently Asked Questions on GCF of 15183 and 15189

1. What is the GCF of 15183 and 15189?

Answer: GCF of 15183 and 15189 is 3.

2. What are the Factors of 15183?

Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.

3. What are the Factors of 15189?

Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.

4. How to Find the GCF of 15183 and 15189?

Answer:

Greatest Common Factor of 15183 and 15189 = 3

Step 1: Find the prime factorization of 15183

15183 = 3 x 3 x 7 x 241

Step 2: Find the prime factorization of 15189

15189 = 3 x 61 x 83

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 15183 and 15189 is 3