Greatest Common Factor of 15246 and 15249

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 15246, 15249 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15246 and 15249 is 3.

GCF(15246,15249) = 3

GCF of 15246 and 15249

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

GCF of:
and

Greatest Common Factor of 15246 and 15249

GCF of 15246 and 15249 is 3

Prime Factorization of 15246


2 15246
3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 15246 are 2,3,7,11. Prime factorization of 15246 in exponential form is:

15246 = 21×32×71×112

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

∴ So by taking common prime factors GCF of 15246 and 15249 is 3

Greatest Common Factor of 15246 and 15249 by matching factors method

Factors of 15246

List of positive integer factors of 15246 that divides 15246 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,121,126,154,198,231,242,363,462,693,726,847,1089,1386,1694,2178,2541,5082,7623,15246

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

Greatest Common Factor

We found the factors and prime factorization of 15246 and 15249. The biggest common factor number is the GCF number.
So the greatest common factor 15246 and 15249 is 3.

Also check out the Least Common Multiple of 15246 and 15249

Properties of GCF 15246 and 15249

(i) The GCF of 15246 and 15249 is associative

GCF of 15246 and 15249 = GCF of 15249 and 15246

Related Greatest Common Factor of 15246

Related Greatest Common Factor of 15249

Frequently Asked Questions on GCF of 15246 and 15249

1. What is the GCF of 15246 and 15249?

Answer: GCF of 15246 and 15249 is 3.

2. What are the Factors of 15246?

Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.

3. 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.

4. How to Find the GCF of 15246 and 15249?

Answer:

Greatest Common Factor of 15246 and 15249 = 3

Step 1: Find the prime factorization of 15246

15246 = 2 x 3 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 15249

15249 = 3 x 13 x 17 x 23

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 15246 and 15249 is 3