Greatest Common Factor of 26320 and 26328

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, 26328 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26320 and 26328 is 8.

GCF(26320,26328) = 8

GCF of 26320 and 26328

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

GCF of:
and

Greatest Common Factor of 26320 and 26328

GCF of 26320 and 26328 is 8

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 26328


2 26328
2 13164
2 6582
3 3291
1097 1097
1

Prime factors of 26328 are 2,3,1097. Prime factorization of 26328 in exponential form is:

26328 = 23×31×10971

∴ So by taking common prime factors GCF of 26320 and 26328 is 8

Greatest Common Factor of 26320 and 26328 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 26328

List of positive integer factors of 26328 that divides 26328 without a remainder.

1,2,3,4,6,8,12,24,1097,2194,3291,4388,6582,8776,13164,26328

Greatest Common Factor

We found the factors and prime factorization of 26320 and 26328. The biggest common factor number is the GCF number.
So the greatest common factor 26320 and 26328 is 8.

Also check out the Least Common Multiple of 26320 and 26328

Properties of GCF 26320 and 26328

(i) The GCF of 26320 and 26328 is associative

GCF of 26320 and 26328 = GCF of 26328 and 26320

Related Greatest Common Factor of 26320

Related Greatest Common Factor of 26328

Frequently Asked Questions on GCF of 26320 and 26328

1. What is the GCF of 26320 and 26328?

Answer: GCF of 26320 and 26328 is 8.

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 26328?

Answer: Factors of 26328 are 1, 2, 3, 4, 6, 8, 12, 24, 1097, 2194, 3291, 4388, 6582, 8776, 13164, 26328. There are 16 integers that are factors of 26328. The greatest factor of 26328 is 26328.

4. How to Find the GCF of 26320 and 26328?

Answer:

Greatest Common Factor of 26320 and 26328 = 8

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 26328

26328 = 2 x 2 x 2 x 3 x 1097

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 26320 and 26328 is 8