Greatest Common Factor of 25290 and 25295

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 25290, 25295 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25290 and 25295 is 5.

GCF(25290,25295) = 5

GCF of 25290 and 25295

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

GCF of:
and

Greatest Common Factor of 25290 and 25295

GCF of 25290 and 25295 is 5

Prime Factorization of 25290


2 25290
3 12645
3 4215
5 1405
281 281
1

Prime factors of 25290 are 2,3,5,281. Prime factorization of 25290 in exponential form is:

25290 = 21×32×51×2811

Prime Factorization of 25295


5 25295
5059 5059
1

Prime factors of 25295 are 5,5059. Prime factorization of 25295 in exponential form is:

25295 = 51×50591

∴ So by taking common prime factors GCF of 25290 and 25295 is 5

Greatest Common Factor of 25290 and 25295 by matching factors method

Factors of 25290

List of positive integer factors of 25290 that divides 25290 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,281,562,843,1405,1686,2529,2810,4215,5058,8430,12645,25290

Factors of 25295

List of positive integer factors of 25295 that divides 25295 without a remainder.

1,5,5059,25295

Greatest Common Factor

We found the factors and prime factorization of 25290 and 25295. The biggest common factor number is the GCF number.
So the greatest common factor 25290 and 25295 is 5.

Also check out the Least Common Multiple of 25290 and 25295

Properties of GCF 25290 and 25295

(i) The GCF of 25290 and 25295 is associative

GCF of 25290 and 25295 = GCF of 25295 and 25290

Related Greatest Common Factor of 25290

Related Greatest Common Factor of 25295

Frequently Asked Questions on GCF of 25290 and 25295

1. What is the GCF of 25290 and 25295?

Answer: GCF of 25290 and 25295 is 5.

2. What are the Factors of 25290?

Answer: Factors of 25290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 8430, 12645, 25290. There are 24 integers that are factors of 25290. The greatest factor of 25290 is 25290.

3. What are the Factors of 25295?

Answer: Factors of 25295 are 1, 5, 5059, 25295. There are 4 integers that are factors of 25295. The greatest factor of 25295 is 25295.

4. How to Find the GCF of 25290 and 25295?

Answer:

Greatest Common Factor of 25290 and 25295 = 5

Step 1: Find the prime factorization of 25290

25290 = 2 x 3 x 3 x 5 x 281

Step 2: Find the prime factorization of 25295

25295 = 5 x 5059

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 25290 and 25295 is 5