Greatest Common Factor of 1109 and 1113

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 1109, 1113 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1109 and 1113 is 1.

GCF(1109,1113) = 1

GCF of 1109 and 1113

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

GCF of:
and

Greatest Common Factor of 1109 and 1113

GCF of 1109 and 1113 is 1

Prime Factorization of 1109


1109 1109
1

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

1109 = 11091

Prime Factorization of 1113


3 1113
7 371
53 53
1

Prime factors of 1113 are 3.Prime factorization of 1113 in exponential form is:

1113 = 31×71×531

∴ So by taking common prime factors GCF of 1109 and 1113 is 1

Greatest Common Factor of 1109 and 1113 by matching factors method

Factors of 1109

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

1,1109

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1,3,7,21,53,159,371,1113

Greatest Common Factor

We found the factors and prime factorization of 1109 and 1113. The biggest common factor number is the GCF number.
So the greatest common factor 1109 and 1113 is 1.

Also check out the Least Common Multiple of 1109 and 1113

Properties of GCF 1109 and 1113

(i) The GCF of 1109 and 1113 is associative

GCF of 1109 and 1113 = GCF of 1113 and 1109

Related Greatest Common Factor of 1109

Related Greatest Common Factor of 1113

Frequently Asked Questions on GCF of 1109 and 1113

1. What is the GCF of 1109 and 1113?

Answer: GCF of 1109 and 1113 is 1.

2. 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.

3. What are the Factors of 1113?

Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.

4. How to Find the GCF of 1109 and 1113?

Answer:

Greatest Common Factor of 1109 and 1113 = 1

Step 1: Find the prime factorization of 1109

1109 = 1109

Step 2: Find the prime factorization of 1113

1113 = 3 x 7 x 53

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 1109 and 1113 is 1