Greatest Common Factor of 26316 and 26320

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 26316, 26320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26316 and 26320 is 4.

GCF(26316,26320) = 4

GCF of 26316 and 26320

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

GCF of:
and

Greatest Common Factor of 26316 and 26320

GCF of 26316 and 26320 is 4

Prime Factorization of 26316


2 26316
2 13158
3 6579
3 2193
17 731
43 43
1

Prime factors of 26316 are 2,3,17,43. Prime factorization of 26316 in exponential form is:

26316 = 22×32×171×431

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

∴ So by taking common prime factors GCF of 26316 and 26320 is 4

Greatest Common Factor of 26316 and 26320 by matching factors method

Factors of 26316

List of positive integer factors of 26316 that divides 26316 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,43,51,68,86,102,129,153,172,204,258,306,387,516,612,731,774,1462,1548,2193,2924,4386,6579,8772,13158,26316

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

Greatest Common Factor

We found the factors and prime factorization of 26316 and 26320. The biggest common factor number is the GCF number.
So the greatest common factor 26316 and 26320 is 4.

Also check out the Least Common Multiple of 26316 and 26320

Properties of GCF 26316 and 26320

(i) The GCF of 26316 and 26320 is associative

GCF of 26316 and 26320 = GCF of 26320 and 26316

Related Greatest Common Factor of 26316

Related Greatest Common Factor of 26320

Frequently Asked Questions on GCF of 26316 and 26320

1. What is the GCF of 26316 and 26320?

Answer: GCF of 26316 and 26320 is 4.

2. What are the Factors of 26316?

Answer: Factors of 26316 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316. There are 36 integers that are factors of 26316. The greatest factor of 26316 is 26316.

3. 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.

4. How to Find the GCF of 26316 and 26320?

Answer:

Greatest Common Factor of 26316 and 26320 = 4

Step 1: Find the prime factorization of 26316

26316 = 2 x 2 x 3 x 3 x 17 x 43

Step 2: Find the prime factorization of 26320

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 26316 and 26320 is 4