Greatest Common Factor of 15256 and 15264

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 15256, 15264 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15256 and 15264 is 8.

GCF(15256,15264) = 8

GCF of 15256 and 15264

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

GCF of:
and

Greatest Common Factor of 15256 and 15264

GCF of 15256 and 15264 is 8

Prime Factorization of 15256


2 15256
2 7628
2 3814
1907 1907
1

Prime factors of 15256 are 2,1907. Prime factorization of 15256 in exponential form is:

15256 = 23×19071

Prime Factorization of 15264


2 15264
2 7632
2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 15264 are 2,3,53. Prime factorization of 15264 in exponential form is:

15264 = 25×32×531

∴ So by taking common prime factors GCF of 15256 and 15264 is 8

Greatest Common Factor of 15256 and 15264 by matching factors method

Factors of 15256

List of positive integer factors of 15256 that divides 15256 without a remainder.

1,2,4,8,1907,3814,7628,15256

Factors of 15264

List of positive integer factors of 15264 that divides 15264 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,53,72,96,106,144,159,212,288,318,424,477,636,848,954,1272,1696,1908,2544,3816,5088,7632,15264

Greatest Common Factor

We found the factors and prime factorization of 15256 and 15264. The biggest common factor number is the GCF number.
So the greatest common factor 15256 and 15264 is 8.

Also check out the Least Common Multiple of 15256 and 15264

Properties of GCF 15256 and 15264

(i) The GCF of 15256 and 15264 is associative

GCF of 15256 and 15264 = GCF of 15264 and 15256

Related Greatest Common Factor of 15256

Related Greatest Common Factor of 15264

Frequently Asked Questions on GCF of 15256 and 15264

1. What is the GCF of 15256 and 15264?

Answer: GCF of 15256 and 15264 is 8.

2. What are the Factors of 15256?

Answer: Factors of 15256 are 1, 2, 4, 8, 1907, 3814, 7628, 15256. There are 8 integers that are factors of 15256. The greatest factor of 15256 is 15256.

3. What are the Factors of 15264?

Answer: Factors of 15264 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 72, 96, 106, 144, 159, 212, 288, 318, 424, 477, 636, 848, 954, 1272, 1696, 1908, 2544, 3816, 5088, 7632, 15264. There are 36 integers that are factors of 15264. The greatest factor of 15264 is 15264.

4. How to Find the GCF of 15256 and 15264?

Answer:

Greatest Common Factor of 15256 and 15264 = 8

Step 1: Find the prime factorization of 15256

15256 = 2 x 2 x 2 x 1907

Step 2: Find the prime factorization of 15264

15264 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15256 and 15264 is 8