Greatest Common Factor of 26319 and 26325

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 26319, 26325 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26319 and 26325 is 3.

GCF(26319,26325) = 3

GCF of 26319 and 26325

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

GCF of:
and

Greatest Common Factor of 26319 and 26325

GCF of 26319 and 26325 is 3

Prime Factorization of 26319


3 26319
31 8773
283 283
1

Prime factors of 26319 are 3,31,283. Prime factorization of 26319 in exponential form is:

26319 = 31×311×2831

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

∴ So by taking common prime factors GCF of 26319 and 26325 is 3

Greatest Common Factor of 26319 and 26325 by matching factors method

Factors of 26319

List of positive integer factors of 26319 that divides 26319 without a remainder.

1,3,31,93,283,849,8773,26319

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

Greatest Common Factor

We found the factors and prime factorization of 26319 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26319 and 26325 is 3.

Also check out the Least Common Multiple of 26319 and 26325

Properties of GCF 26319 and 26325

(i) The GCF of 26319 and 26325 is associative

GCF of 26319 and 26325 = GCF of 26325 and 26319

Related Greatest Common Factor of 26319

Related Greatest Common Factor of 26325

Frequently Asked Questions on GCF of 26319 and 26325

1. What is the GCF of 26319 and 26325?

Answer: GCF of 26319 and 26325 is 3.

2. What are the Factors of 26319?

Answer: Factors of 26319 are 1, 3, 31, 93, 283, 849, 8773, 26319. There are 8 integers that are factors of 26319. The greatest factor of 26319 is 26319.

3. 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.

4. How to Find the GCF of 26319 and 26325?

Answer:

Greatest Common Factor of 26319 and 26325 = 3

Step 1: Find the prime factorization of 26319

26319 = 3 x 31 x 283

Step 2: Find the prime factorization of 26325

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

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 26319 and 26325 is 3