Greatest Common Factor of 15288 and 15296

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 15288, 15296 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15288 and 15296 is 8.

GCF(15288,15296) = 8

GCF of 15288 and 15296

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

GCF of:
and

Greatest Common Factor of 15288 and 15296

GCF of 15288 and 15296 is 8

Prime Factorization of 15288


2 15288
2 7644
2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 15288 are 2,3,7,13. Prime factorization of 15288 in exponential form is:

15288 = 23×31×72×131

Prime Factorization of 15296


2 15296
2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 15296 are 2,239. Prime factorization of 15296 in exponential form is:

15296 = 26×2391

∴ So by taking common prime factors GCF of 15288 and 15296 is 8

Greatest Common Factor of 15288 and 15296 by matching factors method

Factors of 15288

List of positive integer factors of 15288 that divides 15288 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,49,52,56,78,84,91,98,104,147,156,168,182,196,273,294,312,364,392,546,588,637,728,1092,1176,1274,1911,2184,2548,3822,5096,7644,15288

Factors of 15296

List of positive integer factors of 15296 that divides 15296 without a remainder.

1,2,4,8,16,32,64,239,478,956,1912,3824,7648,15296

Greatest Common Factor

We found the factors and prime factorization of 15288 and 15296. The biggest common factor number is the GCF number.
So the greatest common factor 15288 and 15296 is 8.

Also check out the Least Common Multiple of 15288 and 15296

Properties of GCF 15288 and 15296

(i) The GCF of 15288 and 15296 is associative

GCF of 15288 and 15296 = GCF of 15296 and 15288

Related Greatest Common Factor of 15288

Related Greatest Common Factor of 15296

Frequently Asked Questions on GCF of 15288 and 15296

1. What is the GCF of 15288 and 15296?

Answer: GCF of 15288 and 15296 is 8.

2. What are the Factors of 15288?

Answer: Factors of 15288 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 49, 52, 56, 78, 84, 91, 98, 104, 147, 156, 168, 182, 196, 273, 294, 312, 364, 392, 546, 588, 637, 728, 1092, 1176, 1274, 1911, 2184, 2548, 3822, 5096, 7644, 15288. There are 48 integers that are factors of 15288. The greatest factor of 15288 is 15288.

3. What are the Factors of 15296?

Answer: Factors of 15296 are 1, 2, 4, 8, 16, 32, 64, 239, 478, 956, 1912, 3824, 7648, 15296. There are 14 integers that are factors of 15296. The greatest factor of 15296 is 15296.

4. How to Find the GCF of 15288 and 15296?

Answer:

Greatest Common Factor of 15288 and 15296 = 8

Step 1: Find the prime factorization of 15288

15288 = 2 x 2 x 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 15296

15296 = 2 x 2 x 2 x 2 x 2 x 2 x 239

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 15288 and 15296 is 8