Greatest Common Factor of 25285 and 25293

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 25285, 25293 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25285 and 25293 is 1.

GCF(25285,25293) = 1

GCF of 25285 and 25293

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

GCF of:
and

Greatest Common Factor of 25285 and 25293

GCF of 25285 and 25293 is 1

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

Prime Factorization of 25293


3 25293
8431 8431
1

Prime factors of 25293 are 3,8431. Prime factorization of 25293 in exponential form is:

25293 = 31×84311

∴ So by taking common prime factors GCF of 25285 and 25293 is 1

Greatest Common Factor of 25285 and 25293 by matching factors method

Factors of 25285

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

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

Factors of 25293

List of positive integer factors of 25293 that divides 25293 without a remainder.

1,3,8431,25293

Greatest Common Factor

We found the factors and prime factorization of 25285 and 25293. The biggest common factor number is the GCF number.
So the greatest common factor 25285 and 25293 is 1.

Also check out the Least Common Multiple of 25285 and 25293

Properties of GCF 25285 and 25293

(i) The GCF of 25285 and 25293 is associative

GCF of 25285 and 25293 = GCF of 25293 and 25285

Related Greatest Common Factor of 25285

Related Greatest Common Factor of 25293

Frequently Asked Questions on GCF of 25285 and 25293

1. What is the GCF of 25285 and 25293?

Answer: GCF of 25285 and 25293 is 1.

2. 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.

3. What are the Factors of 25293?

Answer: Factors of 25293 are 1, 3, 8431, 25293. There are 4 integers that are factors of 25293. The greatest factor of 25293 is 25293.

4. How to Find the GCF of 25285 and 25293?

Answer:

Greatest Common Factor of 25285 and 25293 = 1

Step 1: Find the prime factorization of 25285

25285 = 5 x 13 x 389

Step 2: Find the prime factorization of 25293

25293 = 3 x 8431

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 25285 and 25293 is 1