Greatest Common Factor of 25280 and 25288

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 25280, 25288 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25280 and 25288 is 8.

GCF(25280,25288) = 8

GCF of 25280 and 25288

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

GCF of:
and

Greatest Common Factor of 25280 and 25288

GCF of 25280 and 25288 is 8

Prime Factorization of 25280


2 25280
2 12640
2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 25280 are 2,5,79. Prime factorization of 25280 in exponential form is:

25280 = 26×51×791

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

∴ So by taking common prime factors GCF of 25280 and 25288 is 8

Greatest Common Factor of 25280 and 25288 by matching factors method

Factors of 25280

List of positive integer factors of 25280 that divides 25280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,79,80,158,160,316,320,395,632,790,1264,1580,2528,3160,5056,6320,12640,25280

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

Greatest Common Factor

We found the factors and prime factorization of 25280 and 25288. The biggest common factor number is the GCF number.
So the greatest common factor 25280 and 25288 is 8.

Also check out the Least Common Multiple of 25280 and 25288

Properties of GCF 25280 and 25288

(i) The GCF of 25280 and 25288 is associative

GCF of 25280 and 25288 = GCF of 25288 and 25280

Related Greatest Common Factor of 25280

Related Greatest Common Factor of 25288

Frequently Asked Questions on GCF of 25280 and 25288

1. What is the GCF of 25280 and 25288?

Answer: GCF of 25280 and 25288 is 8.

2. What are the Factors of 25280?

Answer: Factors of 25280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 158, 160, 316, 320, 395, 632, 790, 1264, 1580, 2528, 3160, 5056, 6320, 12640, 25280. There are 28 integers that are factors of 25280. The greatest factor of 25280 is 25280.

3. 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.

4. How to Find the GCF of 25280 and 25288?

Answer:

Greatest Common Factor of 25280 and 25288 = 8

Step 1: Find the prime factorization of 25280

25280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 25288

25288 = 2 x 2 x 2 x 29 x 109

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 25280 and 25288 is 8