Greatest Common Factor of 11300 and 11305

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 11300, 11305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11300 and 11305 is 5.

GCF(11300,11305) = 5

GCF of 11300 and 11305

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

GCF of:
and

Greatest Common Factor of 11300 and 11305

GCF of 11300 and 11305 is 5

Prime Factorization of 11300


2 11300
2 5650
5 2825
5 565
113 113
1

Prime factors of 11300 are 2,5,113. Prime factorization of 11300 in exponential form is:

11300 = 22×52×1131

Prime Factorization of 11305


5 11305
7 2261
17 323
19 19
1

Prime factors of 11305 are 5,7,17,19. Prime factorization of 11305 in exponential form is:

11305 = 51×71×171×191

∴ So by taking common prime factors GCF of 11300 and 11305 is 5

Greatest Common Factor of 11300 and 11305 by matching factors method

Factors of 11300

List of positive integer factors of 11300 that divides 11300 without a remainder.

1,2,4,5,10,20,25,50,100,113,226,452,565,1130,2260,2825,5650,11300

Factors of 11305

List of positive integer factors of 11305 that divides 11305 without a remainder.

1,5,7,17,19,35,85,95,119,133,323,595,665,1615,2261,11305

Greatest Common Factor

We found the factors and prime factorization of 11300 and 11305. The biggest common factor number is the GCF number.
So the greatest common factor 11300 and 11305 is 5.

Also check out the Least Common Multiple of 11300 and 11305

Properties of GCF 11300 and 11305

(i) The GCF of 11300 and 11305 is associative

GCF of 11300 and 11305 = GCF of 11305 and 11300

Related Greatest Common Factor of 11300

Related Greatest Common Factor of 11305

Frequently Asked Questions on GCF of 11300 and 11305

1. What is the GCF of 11300 and 11305?

Answer: GCF of 11300 and 11305 is 5.

2. What are the Factors of 11300?

Answer: Factors of 11300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650, 11300. There are 18 integers that are factors of 11300. The greatest factor of 11300 is 11300.

3. What are the Factors of 11305?

Answer: Factors of 11305 are 1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305. There are 16 integers that are factors of 11305. The greatest factor of 11305 is 11305.

4. How to Find the GCF of 11300 and 11305?

Answer:

Greatest Common Factor of 11300 and 11305 = 5

Step 1: Find the prime factorization of 11300

11300 = 2 x 2 x 5 x 5 x 113

Step 2: Find the prime factorization of 11305

11305 = 5 x 7 x 17 x 19

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 11300 and 11305 is 5