Greatest Common Factor of 11089 and 11095

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 11089, 11095 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11089 and 11095 is 1.

GCF(11089,11095) = 1

GCF of 11089 and 11095

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

GCF of:
and

Greatest Common Factor of 11089 and 11095

GCF of 11089 and 11095 is 1

Prime Factorization of 11089


13 11089
853 853
1

Prime factors of 11089 are 13,853. Prime factorization of 11089 in exponential form is:

11089 = 131×8531

Prime Factorization of 11095


5 11095
7 2219
317 317
1

Prime factors of 11095 are 5,7,317. Prime factorization of 11095 in exponential form is:

11095 = 51×71×3171

∴ So by taking common prime factors GCF of 11089 and 11095 is 1

Greatest Common Factor of 11089 and 11095 by matching factors method

Factors of 11089

List of positive integer factors of 11089 that divides 11089 without a remainder.

1,13,853,11089

Factors of 11095

List of positive integer factors of 11095 that divides 11095 without a remainder.

1,5,7,35,317,1585,2219,11095

Greatest Common Factor

We found the factors and prime factorization of 11089 and 11095. The biggest common factor number is the GCF number.
So the greatest common factor 11089 and 11095 is 1.

Also check out the Least Common Multiple of 11089 and 11095

Properties of GCF 11089 and 11095

(i) The GCF of 11089 and 11095 is associative

GCF of 11089 and 11095 = GCF of 11095 and 11089

Frequently Asked Questions on GCF of 11089 and 11095

1. What is the GCF of 11089 and 11095?

Answer: GCF of 11089 and 11095 is 1.

2. What are the Factors of 11089?

Answer: Factors of 11089 are 1, 13, 853, 11089. There are 4 integers that are factors of 11089. The greatest factor of 11089 is 11089.

3. What are the Factors of 11095?

Answer: Factors of 11095 are 1, 5, 7, 35, 317, 1585, 2219, 11095. There are 8 integers that are factors of 11095. The greatest factor of 11095 is 11095.

4. How to Find the GCF of 11089 and 11095?

Answer:

Greatest Common Factor of 11089 and 11095 = 1

Step 1: Find the prime factorization of 11089

11089 = 13 x 853

Step 2: Find the prime factorization of 11095

11095 = 5 x 7 x 317

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 11089 and 11095 is 1