Greatest Common Factor of 11097 and 11103

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 11097, 11103 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11097 and 11103 is 3.

GCF(11097,11103) = 3

GCF of 11097 and 11103

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

GCF of:
and

Greatest Common Factor of 11097 and 11103

GCF of 11097 and 11103 is 3

Prime Factorization of 11097


3 11097
3 3699
3 1233
3 411
137 137
1

Prime factors of 11097 are 3,137. Prime factorization of 11097 in exponential form is:

11097 = 34×1371

Prime Factorization of 11103


3 11103
3701 3701
1

Prime factors of 11103 are 3,3701. Prime factorization of 11103 in exponential form is:

11103 = 31×37011

∴ So by taking common prime factors GCF of 11097 and 11103 is 3

Greatest Common Factor of 11097 and 11103 by matching factors method

Factors of 11097

List of positive integer factors of 11097 that divides 11097 without a remainder.

1,3,9,27,81,137,411,1233,3699,11097

Factors of 11103

List of positive integer factors of 11103 that divides 11103 without a remainder.

1,3,3701,11103

Greatest Common Factor

We found the factors and prime factorization of 11097 and 11103. The biggest common factor number is the GCF number.
So the greatest common factor 11097 and 11103 is 3.

Also check out the Least Common Multiple of 11097 and 11103

Properties of GCF 11097 and 11103

(i) The GCF of 11097 and 11103 is associative

GCF of 11097 and 11103 = GCF of 11103 and 11097

Related Greatest Common Factor of 11097

Related Greatest Common Factor of 11103

Frequently Asked Questions on GCF of 11097 and 11103

1. What is the GCF of 11097 and 11103?

Answer: GCF of 11097 and 11103 is 3.

2. What are the Factors of 11097?

Answer: Factors of 11097 are 1, 3, 9, 27, 81, 137, 411, 1233, 3699, 11097. There are 10 integers that are factors of 11097. The greatest factor of 11097 is 11097.

3. What are the Factors of 11103?

Answer: Factors of 11103 are 1, 3, 3701, 11103. There are 4 integers that are factors of 11103. The greatest factor of 11103 is 11103.

4. How to Find the GCF of 11097 and 11103?

Answer:

Greatest Common Factor of 11097 and 11103 = 3

Step 1: Find the prime factorization of 11097

11097 = 3 x 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 11103

11103 = 3 x 3701

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 11097 and 11103 is 3