Greatest Common Factor of 26325 and 26330

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, 26330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26325 and 26330 is 5.

GCF(26325,26330) = 5

GCF of 26325 and 26330

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

GCF of:
and

Greatest Common Factor of 26325 and 26330

GCF of 26325 and 26330 is 5

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 26330


2 26330
5 13165
2633 2633
1

Prime factors of 26330 are 2,5,2633. Prime factorization of 26330 in exponential form is:

26330 = 21×51×26331

∴ So by taking common prime factors GCF of 26325 and 26330 is 5

Greatest Common Factor of 26325 and 26330 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 26330

List of positive integer factors of 26330 that divides 26330 without a remainder.

1,2,5,10,2633,5266,13165,26330

Greatest Common Factor

We found the factors and prime factorization of 26325 and 26330. The biggest common factor number is the GCF number.
So the greatest common factor 26325 and 26330 is 5.

Also check out the Least Common Multiple of 26325 and 26330

Properties of GCF 26325 and 26330

(i) The GCF of 26325 and 26330 is associative

GCF of 26325 and 26330 = GCF of 26330 and 26325

Related Greatest Common Factor of 26325

Related Greatest Common Factor of 26330

Frequently Asked Questions on GCF of 26325 and 26330

1. What is the GCF of 26325 and 26330?

Answer: GCF of 26325 and 26330 is 5.

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 26330?

Answer: Factors of 26330 are 1, 2, 5, 10, 2633, 5266, 13165, 26330. There are 8 integers that are factors of 26330. The greatest factor of 26330 is 26330.

4. How to Find the GCF of 26325 and 26330?

Answer:

Greatest Common Factor of 26325 and 26330 = 5

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 26330

26330 = 2 x 5 x 2633

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

GCF = 5

Step 4: Therefore, the greatest common factor of 26325 and 26330 is 5