Greatest Common Factor of 26325 and 26331

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 26325, 26331 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26325 and 26331 is 3.

GCF(26325,26331) = 3

GCF of 26325 and 26331

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

GCF of:
and

Greatest Common Factor of 26325 and 26331

GCF of 26325 and 26331 is 3

Prime Factorization of 26325


3 26325
3 8775
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 26325 are 3,5,13. Prime factorization of 26325 in exponential form is:

26325 = 34×52×131

Prime Factorization of 26331


3 26331
67 8777
131 131
1

Prime factors of 26331 are 3,67,131. Prime factorization of 26331 in exponential form is:

26331 = 31×671×1311

∴ So by taking common prime factors GCF of 26325 and 26331 is 3

Greatest Common Factor of 26325 and 26331 by matching factors method

Factors of 26325

List of positive integer factors of 26325 that divides 26325 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,81,117,135,195,225,325,351,405,585,675,975,1053,1755,2025,2925,5265,8775,26325

Factors of 26331

List of positive integer factors of 26331 that divides 26331 without a remainder.

1,3,67,131,201,393,8777,26331

Greatest Common Factor

We found the factors and prime factorization of 26325 and 26331. The biggest common factor number is the GCF number.
So the greatest common factor 26325 and 26331 is 3.

Also check out the Least Common Multiple of 26325 and 26331

Properties of GCF 26325 and 26331

(i) The GCF of 26325 and 26331 is associative

GCF of 26325 and 26331 = GCF of 26331 and 26325

Related Greatest Common Factor of 26325

Related Greatest Common Factor of 26331

Frequently Asked Questions on GCF of 26325 and 26331

1. What is the GCF of 26325 and 26331?

Answer: GCF of 26325 and 26331 is 3.

2. What are the Factors of 26325?

Answer: Factors of 26325 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775, 26325. There are 30 integers that are factors of 26325. The greatest factor of 26325 is 26325.

3. What are the Factors of 26331?

Answer: Factors of 26331 are 1, 3, 67, 131, 201, 393, 8777, 26331. There are 8 integers that are factors of 26331. The greatest factor of 26331 is 26331.

4. How to Find the GCF of 26325 and 26331?

Answer:

Greatest Common Factor of 26325 and 26331 = 3

Step 1: Find the prime factorization of 26325

26325 = 3 x 3 x 3 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 26331

26331 = 3 x 67 x 131

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

GCF = 3

Step 4: Therefore, the greatest common factor of 26325 and 26331 is 3