Greatest Common Factor of 25284 and 25290

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 25284, 25290 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25284 and 25290 is 6.

GCF(25284,25290) = 6

GCF of 25284 and 25290

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

GCF of:
and

Greatest Common Factor of 25284 and 25290

GCF of 25284 and 25290 is 6

Prime Factorization of 25284


2 25284
2 12642
3 6321
7 2107
7 301
43 43
1

Prime factors of 25284 are 2,3,7,43. Prime factorization of 25284 in exponential form is:

25284 = 22×31×72×431

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

∴ So by taking common prime factors GCF of 25284 and 25290 is 6

Greatest Common Factor of 25284 and 25290 by matching factors method

Factors of 25284

List of positive integer factors of 25284 that divides 25284 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,49,84,86,98,129,147,172,196,258,294,301,516,588,602,903,1204,1806,2107,3612,4214,6321,8428,12642,25284

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

Greatest Common Factor

We found the factors and prime factorization of 25284 and 25290. The biggest common factor number is the GCF number.
So the greatest common factor 25284 and 25290 is 6.

Also check out the Least Common Multiple of 25284 and 25290

Properties of GCF 25284 and 25290

(i) The GCF of 25284 and 25290 is associative

GCF of 25284 and 25290 = GCF of 25290 and 25284

Related Greatest Common Factor of 25284

Related Greatest Common Factor of 25290

Frequently Asked Questions on GCF of 25284 and 25290

1. What is the GCF of 25284 and 25290?

Answer: GCF of 25284 and 25290 is 6.

2. What are the Factors of 25284?

Answer: Factors of 25284 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642, 25284. There are 36 integers that are factors of 25284. The greatest factor of 25284 is 25284.

3. 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.

4. How to Find the GCF of 25284 and 25290?

Answer:

Greatest Common Factor of 25284 and 25290 = 6

Step 1: Find the prime factorization of 25284

25284 = 2 x 2 x 3 x 7 x 7 x 43

Step 2: Find the prime factorization of 25290

25290 = 2 x 3 x 3 x 5 x 281

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 25284 and 25290 is 6