Greatest Common Factor of 25257 and 25263

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 25257, 25263 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25257 and 25263 is 3.

GCF(25257,25263) = 3

GCF of 25257 and 25263

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

GCF of:
and

Greatest Common Factor of 25257 and 25263

GCF of 25257 and 25263 is 3

Prime Factorization of 25257


3 25257
8419 8419
1

Prime factors of 25257 are 3,8419. Prime factorization of 25257 in exponential form is:

25257 = 31×84191

Prime Factorization of 25263


3 25263
3 8421
7 2807
401 401
1

Prime factors of 25263 are 3,7,401. Prime factorization of 25263 in exponential form is:

25263 = 32×71×4011

∴ So by taking common prime factors GCF of 25257 and 25263 is 3

Greatest Common Factor of 25257 and 25263 by matching factors method

Factors of 25257

List of positive integer factors of 25257 that divides 25257 without a remainder.

1,3,8419,25257

Factors of 25263

List of positive integer factors of 25263 that divides 25263 without a remainder.

1,3,7,9,21,63,401,1203,2807,3609,8421,25263

Greatest Common Factor

We found the factors and prime factorization of 25257 and 25263. The biggest common factor number is the GCF number.
So the greatest common factor 25257 and 25263 is 3.

Also check out the Least Common Multiple of 25257 and 25263

Properties of GCF 25257 and 25263

(i) The GCF of 25257 and 25263 is associative

GCF of 25257 and 25263 = GCF of 25263 and 25257

Related Greatest Common Factor of 25257

Related Greatest Common Factor of 25263

Frequently Asked Questions on GCF of 25257 and 25263

1. What is the GCF of 25257 and 25263?

Answer: GCF of 25257 and 25263 is 3.

2. What are the Factors of 25257?

Answer: Factors of 25257 are 1, 3, 8419, 25257. There are 4 integers that are factors of 25257. The greatest factor of 25257 is 25257.

3. What are the Factors of 25263?

Answer: Factors of 25263 are 1, 3, 7, 9, 21, 63, 401, 1203, 2807, 3609, 8421, 25263. There are 12 integers that are factors of 25263. The greatest factor of 25263 is 25263.

4. How to Find the GCF of 25257 and 25263?

Answer:

Greatest Common Factor of 25257 and 25263 = 3

Step 1: Find the prime factorization of 25257

25257 = 3 x 8419

Step 2: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

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

GCF = 3

Step 4: Therefore, the greatest common factor of 25257 and 25263 is 3