Greatest Common Factor of 25298 and 25305

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 25298, 25305 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25298 and 25305 is 7.

GCF(25298,25305) = 7

GCF of 25298 and 25305

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

GCF of:
and

Greatest Common Factor of 25298 and 25305

GCF of 25298 and 25305 is 7

Prime Factorization of 25298


2 25298
7 12649
13 1807
139 139
1

Prime factors of 25298 are 2,7,13,139. Prime factorization of 25298 in exponential form is:

25298 = 21×71×131×1391

Prime Factorization of 25305


3 25305
5 8435
7 1687
241 241
1

Prime factors of 25305 are 3,5,7,241. Prime factorization of 25305 in exponential form is:

25305 = 31×51×71×2411

∴ So by taking common prime factors GCF of 25298 and 25305 is 7

Greatest Common Factor of 25298 and 25305 by matching factors method

Factors of 25298

List of positive integer factors of 25298 that divides 25298 without a remainder.

1,2,7,13,14,26,91,139,182,278,973,1807,1946,3614,12649,25298

Factors of 25305

List of positive integer factors of 25305 that divides 25305 without a remainder.

1,3,5,7,15,21,35,105,241,723,1205,1687,3615,5061,8435,25305

Greatest Common Factor

We found the factors and prime factorization of 25298 and 25305. The biggest common factor number is the GCF number.
So the greatest common factor 25298 and 25305 is 7.

Also check out the Least Common Multiple of 25298 and 25305

Properties of GCF 25298 and 25305

(i) The GCF of 25298 and 25305 is associative

GCF of 25298 and 25305 = GCF of 25305 and 25298

Related Greatest Common Factor of 25298

Related Greatest Common Factor of 25305

Frequently Asked Questions on GCF of 25298 and 25305

1. What is the GCF of 25298 and 25305?

Answer: GCF of 25298 and 25305 is 7.

2. What are the Factors of 25298?

Answer: Factors of 25298 are 1, 2, 7, 13, 14, 26, 91, 139, 182, 278, 973, 1807, 1946, 3614, 12649, 25298. There are 16 integers that are factors of 25298. The greatest factor of 25298 is 25298.

3. What are the Factors of 25305?

Answer: Factors of 25305 are 1, 3, 5, 7, 15, 21, 35, 105, 241, 723, 1205, 1687, 3615, 5061, 8435, 25305. There are 16 integers that are factors of 25305. The greatest factor of 25305 is 25305.

4. How to Find the GCF of 25298 and 25305?

Answer:

Greatest Common Factor of 25298 and 25305 = 7

Step 1: Find the prime factorization of 25298

25298 = 2 x 7 x 13 x 139

Step 2: Find the prime factorization of 25305

25305 = 3 x 5 x 7 x 241

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

GCF = 7

Step 4: Therefore, the greatest common factor of 25298 and 25305 is 7