Greatest Common Factor of 26315 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 26315, 26320 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26315 and 26320 is 5.

GCF(26315,26320) = 5

GCF of 26315 and 26320

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

GCF of:
and

Greatest Common Factor of 26315 and 26320

GCF of 26315 and 26320 is 5

Prime Factorization of 26315


5 26315
19 5263
277 277
1

Prime factors of 26315 are 5,19,277. Prime factorization of 26315 in exponential form is:

26315 = 51×191×2771

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 26315 and 26320 is 5

Greatest Common Factor of 26315 and 26320 by matching factors method

Factors of 26315

List of positive integer factors of 26315 that divides 26315 without a remainder.

1,5,19,95,277,1385,5263,26315

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 26315 and 26320. The biggest common factor number is the GCF number.
So the greatest common factor 26315 and 26320 is 5.

Also check out the Least Common Multiple of 26315 and 26320

Properties of GCF 26315 and 26320

(i) The GCF of 26315 and 26320 is associative

GCF of 26315 and 26320 = GCF of 26320 and 26315

Related Greatest Common Factor of 26315

Related Greatest Common Factor of 26320

Frequently Asked Questions on GCF of 26315 and 26320

1. What is the GCF of 26315 and 26320?

Answer: GCF of 26315 and 26320 is 5.

2. What are the Factors of 26315?

Answer: Factors of 26315 are 1, 5, 19, 95, 277, 1385, 5263, 26315. There are 8 integers that are factors of 26315. The greatest factor of 26315 is 26315.

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 26315 and 26320?

Answer:

Greatest Common Factor of 26315 and 26320 = 5

Step 1: Find the prime factorization of 26315

26315 = 5 x 19 x 277

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 = 5

Step 4: Therefore, the greatest common factor of 26315 and 26320 is 5