Greatest Common Factor of 25296 and 25300

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 25296, 25300 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25296 and 25300 is 4.

GCF(25296,25300) = 4

GCF of 25296 and 25300

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

GCF of:
and

Greatest Common Factor of 25296 and 25300

GCF of 25296 and 25300 is 4

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

Prime Factorization of 25300


2 25300
2 12650
5 6325
5 1265
11 253
23 23
1

Prime factors of 25300 are 2,5,11,23. Prime factorization of 25300 in exponential form is:

25300 = 22×52×111×231

∴ So by taking common prime factors GCF of 25296 and 25300 is 4

Greatest Common Factor of 25296 and 25300 by matching factors method

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

Factors of 25300

List of positive integer factors of 25300 that divides 25300 without a remainder.

1,2,4,5,10,11,20,22,23,25,44,46,50,55,92,100,110,115,220,230,253,275,460,506,550,575,1012,1100,1150,1265,2300,2530,5060,6325,12650,25300

Greatest Common Factor

We found the factors and prime factorization of 25296 and 25300. The biggest common factor number is the GCF number.
So the greatest common factor 25296 and 25300 is 4.

Also check out the Least Common Multiple of 25296 and 25300

Properties of GCF 25296 and 25300

(i) The GCF of 25296 and 25300 is associative

GCF of 25296 and 25300 = GCF of 25300 and 25296

Related Greatest Common Factor of 25296

Related Greatest Common Factor of 25300

Frequently Asked Questions on GCF of 25296 and 25300

1. What is the GCF of 25296 and 25300?

Answer: GCF of 25296 and 25300 is 4.

2. 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.

3. What are the Factors of 25300?

Answer: Factors of 25300 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 25, 44, 46, 50, 55, 92, 100, 110, 115, 220, 230, 253, 275, 460, 506, 550, 575, 1012, 1100, 1150, 1265, 2300, 2530, 5060, 6325, 12650, 25300. There are 36 integers that are factors of 25300. The greatest factor of 25300 is 25300.

4. How to Find the GCF of 25296 and 25300?

Answer:

Greatest Common Factor of 25296 and 25300 = 4

Step 1: Find the prime factorization of 25296

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

Step 2: Find the prime factorization of 25300

25300 = 2 x 2 x 5 x 5 x 11 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 25296 and 25300 is 4