Greatest Common Factor of 25330 and 25334

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 25330, 25334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25330 and 25334 is 2.

GCF(25330,25334) = 2

GCF of 25330 and 25334

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

GCF of:
and

Greatest Common Factor of 25330 and 25334

GCF of 25330 and 25334 is 2

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

Prime Factorization of 25334


2 25334
53 12667
239 239
1

Prime factors of 25334 are 2,53,239. Prime factorization of 25334 in exponential form is:

25334 = 21×531×2391

∴ So by taking common prime factors GCF of 25330 and 25334 is 2

Greatest Common Factor of 25330 and 25334 by matching factors method

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

Factors of 25334

List of positive integer factors of 25334 that divides 25334 without a remainder.

1,2,53,106,239,478,12667,25334

Greatest Common Factor

We found the factors and prime factorization of 25330 and 25334. The biggest common factor number is the GCF number.
So the greatest common factor 25330 and 25334 is 2.

Also check out the Least Common Multiple of 25330 and 25334

Properties of GCF 25330 and 25334

(i) The GCF of 25330 and 25334 is associative

GCF of 25330 and 25334 = GCF of 25334 and 25330

Related Greatest Common Factor of 25330

Related Greatest Common Factor of 25334

Frequently Asked Questions on GCF of 25330 and 25334

1. What is the GCF of 25330 and 25334?

Answer: GCF of 25330 and 25334 is 2.

2. 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.

3. What are the Factors of 25334?

Answer: Factors of 25334 are 1, 2, 53, 106, 239, 478, 12667, 25334. There are 8 integers that are factors of 25334. The greatest factor of 25334 is 25334.

4. How to Find the GCF of 25330 and 25334?

Answer:

Greatest Common Factor of 25330 and 25334 = 2

Step 1: Find the prime factorization of 25330

25330 = 2 x 5 x 17 x 149

Step 2: Find the prime factorization of 25334

25334 = 2 x 53 x 239

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 25330 and 25334 is 2