Greatest Common Factor of 26320 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 26320, 26325 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26320 and 26325 is 5.

GCF(26320,26325) = 5

GCF of 26320 and 26325

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

GCF of:
and

Greatest Common Factor of 26320 and 26325

GCF of 26320 and 26325 is 5

Prime Factorization of 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2,5,7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

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 26320 and 26325 is 5

Greatest Common Factor of 26320 and 26325 by matching factors method

Factors of 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,47,56,70,80,94,112,140,188,235,280,329,376,470,560,658,752,940,1316,1645,1880,2632,3290,3760,5264,6580,13160,26320

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 26320 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26320 and 26325 is 5.

Also check out the Least Common Multiple of 26320 and 26325

Properties of GCF 26320 and 26325

(i) The GCF of 26320 and 26325 is associative

GCF of 26320 and 26325 = GCF of 26325 and 26320

Related Greatest Common Factor of 26320

Related Greatest Common Factor of 26325

Frequently Asked Questions on GCF of 26320 and 26325

1. What is the GCF of 26320 and 26325?

Answer: GCF of 26320 and 26325 is 5.

2. What are the Factors of 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

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 26320 and 26325?

Answer:

Greatest Common Factor of 26320 and 26325 = 5

Step 1: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

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 = 5

Step 4: Therefore, the greatest common factor of 26320 and 26325 is 5