Greatest Common Factor of 25326 and 25330

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 25326, 25330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25326 and 25330 is 2.

GCF(25326,25330) = 2

GCF of 25326 and 25330

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

GCF of:
and

Greatest Common Factor of 25326 and 25330

GCF of 25326 and 25330 is 2

Prime Factorization of 25326


2 25326
3 12663
3 4221
3 1407
7 469
67 67
1

Prime factors of 25326 are 2,3,7,67. Prime factorization of 25326 in exponential form is:

25326 = 21×33×71×671

Prime Factorization of 25330


2 25330
5 12665
17 2533
149 149
1

Prime factors of 25330 are 2,5,17,149. Prime factorization of 25330 in exponential form is:

25330 = 21×51×171×1491

∴ So by taking common prime factors GCF of 25326 and 25330 is 2

Greatest Common Factor of 25326 and 25330 by matching factors method

Factors of 25326

List of positive integer factors of 25326 that divides 25326 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,67,126,134,189,201,378,402,469,603,938,1206,1407,1809,2814,3618,4221,8442,12663,25326

Factors of 25330

List of positive integer factors of 25330 that divides 25330 without a remainder.

1,2,5,10,17,34,85,149,170,298,745,1490,2533,5066,12665,25330

Greatest Common Factor

We found the factors and prime factorization of 25326 and 25330. The biggest common factor number is the GCF number.
So the greatest common factor 25326 and 25330 is 2.

Also check out the Least Common Multiple of 25326 and 25330

Properties of GCF 25326 and 25330

(i) The GCF of 25326 and 25330 is associative

GCF of 25326 and 25330 = GCF of 25330 and 25326

Related Greatest Common Factor of 25326

Related Greatest Common Factor of 25330

Frequently Asked Questions on GCF of 25326 and 25330

1. What is the GCF of 25326 and 25330?

Answer: GCF of 25326 and 25330 is 2.

2. What are the Factors of 25326?

Answer: Factors of 25326 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 67, 126, 134, 189, 201, 378, 402, 469, 603, 938, 1206, 1407, 1809, 2814, 3618, 4221, 8442, 12663, 25326. There are 32 integers that are factors of 25326. The greatest factor of 25326 is 25326.

3. What are the Factors of 25330?

Answer: Factors of 25330 are 1, 2, 5, 10, 17, 34, 85, 149, 170, 298, 745, 1490, 2533, 5066, 12665, 25330. There are 16 integers that are factors of 25330. The greatest factor of 25330 is 25330.

4. How to Find the GCF of 25326 and 25330?

Answer:

Greatest Common Factor of 25326 and 25330 = 2

Step 1: Find the prime factorization of 25326

25326 = 2 x 3 x 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 25330

25330 = 2 x 5 x 17 x 149

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

GCF = 2

Step 4: Therefore, the greatest common factor of 25326 and 25330 is 2