Greatest Common Factor of 25288 and 25296

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 25288, 25296 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25288 and 25296 is 8.

GCF(25288,25296) = 8

GCF of 25288 and 25296

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

GCF of:
and

Greatest Common Factor of 25288 and 25296

GCF of 25288 and 25296 is 8

Prime Factorization of 25288


2 25288
2 12644
2 6322
29 3161
109 109
1

Prime factors of 25288 are 2,29,109. Prime factorization of 25288 in exponential form is:

25288 = 23×291×1091

Prime Factorization of 25296


2 25296
2 12648
2 6324
2 3162
3 1581
17 527
31 31
1

Prime factors of 25296 are 2,3,17,31. Prime factorization of 25296 in exponential form is:

25296 = 24×31×171×311

∴ So by taking common prime factors GCF of 25288 and 25296 is 8

Greatest Common Factor of 25288 and 25296 by matching factors method

Factors of 25288

List of positive integer factors of 25288 that divides 25288 without a remainder.

1,2,4,8,29,58,109,116,218,232,436,872,3161,6322,12644,25288

Factors of 25296

List of positive integer factors of 25296 that divides 25296 without a remainder.

1,2,3,4,6,8,12,16,17,24,31,34,48,51,62,68,93,102,124,136,186,204,248,272,372,408,496,527,744,816,1054,1488,1581,2108,3162,4216,6324,8432,12648,25296

Greatest Common Factor

We found the factors and prime factorization of 25288 and 25296. The biggest common factor number is the GCF number.
So the greatest common factor 25288 and 25296 is 8.

Also check out the Least Common Multiple of 25288 and 25296

Properties of GCF 25288 and 25296

(i) The GCF of 25288 and 25296 is associative

GCF of 25288 and 25296 = GCF of 25296 and 25288

Related Greatest Common Factor of 25288

Related Greatest Common Factor of 25296

Frequently Asked Questions on GCF of 25288 and 25296

1. What is the GCF of 25288 and 25296?

Answer: GCF of 25288 and 25296 is 8.

2. What are the Factors of 25288?

Answer: Factors of 25288 are 1, 2, 4, 8, 29, 58, 109, 116, 218, 232, 436, 872, 3161, 6322, 12644, 25288. There are 16 integers that are factors of 25288. The greatest factor of 25288 is 25288.

3. What are the Factors of 25296?

Answer: Factors of 25296 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 31, 34, 48, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 272, 372, 408, 496, 527, 744, 816, 1054, 1488, 1581, 2108, 3162, 4216, 6324, 8432, 12648, 25296. There are 40 integers that are factors of 25296. The greatest factor of 25296 is 25296.

4. How to Find the GCF of 25288 and 25296?

Answer:

Greatest Common Factor of 25288 and 25296 = 8

Step 1: Find the prime factorization of 25288

25288 = 2 x 2 x 2 x 29 x 109

Step 2: Find the prime factorization of 25296

25296 = 2 x 2 x 2 x 2 x 3 x 17 x 31

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 25288 and 25296 is 8