Greatest Common Factor of 15249 and 15255

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 15249, 15255 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15249 and 15255 is 3.

GCF(15249,15255) = 3

GCF of 15249 and 15255

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

GCF of:
and

Greatest Common Factor of 15249 and 15255

GCF of 15249 and 15255 is 3

Prime Factorization of 15249


3 15249
13 5083
17 391
23 23
1

Prime factors of 15249 are 3,13,17,23. Prime factorization of 15249 in exponential form is:

15249 = 31×131×171×231

Prime Factorization of 15255


3 15255
3 5085
3 1695
5 565
113 113
1

Prime factors of 15255 are 3,5,113. Prime factorization of 15255 in exponential form is:

15255 = 33×51×1131

∴ So by taking common prime factors GCF of 15249 and 15255 is 3

Greatest Common Factor of 15249 and 15255 by matching factors method

Factors of 15249

List of positive integer factors of 15249 that divides 15249 without a remainder.

1,3,13,17,23,39,51,69,221,299,391,663,897,1173,5083,15249

Factors of 15255

List of positive integer factors of 15255 that divides 15255 without a remainder.

1,3,5,9,15,27,45,113,135,339,565,1017,1695,3051,5085,15255

Greatest Common Factor

We found the factors and prime factorization of 15249 and 15255. The biggest common factor number is the GCF number.
So the greatest common factor 15249 and 15255 is 3.

Also check out the Least Common Multiple of 15249 and 15255

Properties of GCF 15249 and 15255

(i) The GCF of 15249 and 15255 is associative

GCF of 15249 and 15255 = GCF of 15255 and 15249

Related Greatest Common Factor of 15249

Related Greatest Common Factor of 15255

Frequently Asked Questions on GCF of 15249 and 15255

1. What is the GCF of 15249 and 15255?

Answer: GCF of 15249 and 15255 is 3.

2. What are the Factors of 15249?

Answer: Factors of 15249 are 1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249. There are 16 integers that are factors of 15249. The greatest factor of 15249 is 15249.

3. What are the Factors of 15255?

Answer: Factors of 15255 are 1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255. There are 16 integers that are factors of 15255. The greatest factor of 15255 is 15255.

4. How to Find the GCF of 15249 and 15255?

Answer:

Greatest Common Factor of 15249 and 15255 = 3

Step 1: Find the prime factorization of 15249

15249 = 3 x 13 x 17 x 23

Step 2: Find the prime factorization of 15255

15255 = 3 x 3 x 3 x 5 x 113

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 15249 and 15255 is 3