Greatest Common Factor of 1105 and 1109

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 1105, 1109 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1105 and 1109 is 1.

GCF(1105,1109) = 1

GCF of 1105 and 1109

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

GCF of:
and

Greatest Common Factor of 1105 and 1109

GCF of 1105 and 1109 is 1

Prime Factorization of 1105


5 1105
13 221
17 17
1

Prime factors of 1105 are 5,13,17. Prime factorization of 1105 in exponential form is:

1105 = 51×131×171

Prime Factorization of 1109


1109 1109
1

Prime factors of 1109 are 1109. Prime factorization of 1109 in exponential form is:

1109 = 11091

∴ So by taking common prime factors GCF of 1105 and 1109 is 1

Greatest Common Factor of 1105 and 1109 by matching factors method

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Factors of 1109

List of positive integer factors of 1109 that divides 1109 without a remainder.

1,1109

Greatest Common Factor

We found the factors and prime factorization of 1105 and 1109. The biggest common factor number is the GCF number.
So the greatest common factor 1105 and 1109 is 1.

Also check out the Least Common Multiple of 1105 and 1109

Properties of GCF 1105 and 1109

(i) The GCF of 1105 and 1109 is associative

GCF of 1105 and 1109 = GCF of 1109 and 1105

Related Greatest Common Factor of 1105

Related Greatest Common Factor of 1109

Frequently Asked Questions on GCF of 1105 and 1109

1. What is the GCF of 1105 and 1109?

Answer: GCF of 1105 and 1109 is 1.

2. What are the Factors of 1105?

Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.

3. What are the Factors of 1109?

Answer: Factors of 1109 are 1, 1109. There are 2 integers that are factors of 1109. The greatest factor of 1109 is 1109.

4. How to Find the GCF of 1105 and 1109?

Answer:

Greatest Common Factor of 1105 and 1109 = 1

Step 1: Find the prime factorization of 1105

1105 = 5 x 13 x 17

Step 2: Find the prime factorization of 1109

1109 = 1109

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 1105 and 1109 is 1