Greatest Common Factor of 25280 and 25285

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, 25285 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25280 and 25285 is 5.

GCF(25280,25285) = 5

GCF of 25280 and 25285

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

GCF of:
and

Greatest Common Factor of 25280 and 25285

GCF of 25280 and 25285 is 5

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 25285


5 25285
13 5057
389 389
1

Prime factors of 25285 are 5,13,389. Prime factorization of 25285 in exponential form is:

25285 = 51×131×3891

∴ So by taking common prime factors GCF of 25280 and 25285 is 5

Greatest Common Factor of 25280 and 25285 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 25285

List of positive integer factors of 25285 that divides 25285 without a remainder.

1,5,13,65,389,1945,5057,25285

Greatest Common Factor

We found the factors and prime factorization of 25280 and 25285. The biggest common factor number is the GCF number.
So the greatest common factor 25280 and 25285 is 5.

Also check out the Least Common Multiple of 25280 and 25285

Properties of GCF 25280 and 25285

(i) The GCF of 25280 and 25285 is associative

GCF of 25280 and 25285 = GCF of 25285 and 25280

Related Greatest Common Factor of 25280

Related Greatest Common Factor of 25285

Frequently Asked Questions on GCF of 25280 and 25285

1. What is the GCF of 25280 and 25285?

Answer: GCF of 25280 and 25285 is 5.

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 25285?

Answer: Factors of 25285 are 1, 5, 13, 65, 389, 1945, 5057, 25285. There are 8 integers that are factors of 25285. The greatest factor of 25285 is 25285.

4. How to Find the GCF of 25280 and 25285?

Answer:

Greatest Common Factor of 25280 and 25285 = 5

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 25285

25285 = 5 x 13 x 389

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

GCF = 5

Step 4: Therefore, the greatest common factor of 25280 and 25285 is 5