Greatest Common Factor of 11079 and 11085

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 11079, 11085 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11079 and 11085 is 3.

GCF(11079,11085) = 3

GCF of 11079 and 11085

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

GCF of:
and

Greatest Common Factor of 11079 and 11085

GCF of 11079 and 11085 is 3

Prime Factorization of 11079


3 11079
3 3693
1231 1231
1

Prime factors of 11079 are 3,1231. Prime factorization of 11079 in exponential form is:

11079 = 32×12311

Prime Factorization of 11085


3 11085
5 3695
739 739
1

Prime factors of 11085 are 3,5,739. Prime factorization of 11085 in exponential form is:

11085 = 31×51×7391

∴ So by taking common prime factors GCF of 11079 and 11085 is 3

Greatest Common Factor of 11079 and 11085 by matching factors method

Factors of 11079

List of positive integer factors of 11079 that divides 11079 without a remainder.

1,3,9,1231,3693,11079

Factors of 11085

List of positive integer factors of 11085 that divides 11085 without a remainder.

1,3,5,15,739,2217,3695,11085

Greatest Common Factor

We found the factors and prime factorization of 11079 and 11085. The biggest common factor number is the GCF number.
So the greatest common factor 11079 and 11085 is 3.

Also check out the Least Common Multiple of 11079 and 11085

Properties of GCF 11079 and 11085

(i) The GCF of 11079 and 11085 is associative

GCF of 11079 and 11085 = GCF of 11085 and 11079

Related Greatest Common Factor of 11079

Related Greatest Common Factor of 11085

Frequently Asked Questions on GCF of 11079 and 11085

1. What is the GCF of 11079 and 11085?

Answer: GCF of 11079 and 11085 is 3.

2. What are the Factors of 11079?

Answer: Factors of 11079 are 1, 3, 9, 1231, 3693, 11079. There are 6 integers that are factors of 11079. The greatest factor of 11079 is 11079.

3. What are the Factors of 11085?

Answer: Factors of 11085 are 1, 3, 5, 15, 739, 2217, 3695, 11085. There are 8 integers that are factors of 11085. The greatest factor of 11085 is 11085.

4. How to Find the GCF of 11079 and 11085?

Answer:

Greatest Common Factor of 11079 and 11085 = 3

Step 1: Find the prime factorization of 11079

11079 = 3 x 3 x 1231

Step 2: Find the prime factorization of 11085

11085 = 3 x 5 x 739

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

GCF = 3

Step 4: Therefore, the greatest common factor of 11079 and 11085 is 3