Greatest Common Factor of 25263 and 25268

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 25263, 25268 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25263 and 25268 is 1.

GCF(25263,25268) = 1

GCF of 25263 and 25268

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

GCF of:
and

Greatest Common Factor of 25263 and 25268

GCF of 25263 and 25268 is 1

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

Prime Factorization of 25268


2 25268
2 12634
6317 6317
1

Prime factors of 25268 are 2,6317. Prime factorization of 25268 in exponential form is:

25268 = 22×63171

∴ So by taking common prime factors GCF of 25263 and 25268 is 1

Greatest Common Factor of 25263 and 25268 by matching factors method

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

Factors of 25268

List of positive integer factors of 25268 that divides 25268 without a remainder.

1,2,4,6317,12634,25268

Greatest Common Factor

We found the factors and prime factorization of 25263 and 25268. The biggest common factor number is the GCF number.
So the greatest common factor 25263 and 25268 is 1.

Also check out the Least Common Multiple of 25263 and 25268

Properties of GCF 25263 and 25268

(i) The GCF of 25263 and 25268 is associative

GCF of 25263 and 25268 = GCF of 25268 and 25263

Related Greatest Common Factor of 25263

Related Greatest Common Factor of 25268

Frequently Asked Questions on GCF of 25263 and 25268

1. What is the GCF of 25263 and 25268?

Answer: GCF of 25263 and 25268 is 1.

2. 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.

3. What are the Factors of 25268?

Answer: Factors of 25268 are 1, 2, 4, 6317, 12634, 25268. There are 6 integers that are factors of 25268. The greatest factor of 25268 is 25268.

4. How to Find the GCF of 25263 and 25268?

Answer:

Greatest Common Factor of 25263 and 25268 = 1

Step 1: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

Step 2: Find the prime factorization of 25268

25268 = 2 x 2 x 6317

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 25263 and 25268 is 1