Greatest Common Factor of 1089 and 1091

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 1089, 1091 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1089 and 1091 is 1.

GCF(1089,1091) = 1

GCF of 1089 and 1091

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

GCF of:
and

Greatest Common Factor of 1089 and 1091

GCF of 1089 and 1091 is 1

Prime Factorization of 1089


3 1089
3 363
11 121
11 11
1

Prime factors of 1089 are 3,11. Prime factorization of 1089 in exponential form is:

1089 = 32×112

Prime Factorization of 1091


1091 1091
1

Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:

1091 = 10911

∴ So by taking common prime factors GCF of 1089 and 1091 is 1

Greatest Common Factor of 1089 and 1091 by matching factors method

Factors of 1089

List of positive integer factors of 1089 that divides 1089 without a remainder.

1,3,9,11,33,99,121,363,1089

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1,1091

Greatest Common Factor

We found the factors and prime factorization of 1089 and 1091. The biggest common factor number is the GCF number.
So the greatest common factor 1089 and 1091 is 1.

Also check out the Least Common Multiple of 1089 and 1091

Properties of GCF 1089 and 1091

(i) The GCF of 1089 and 1091 is associative

GCF of 1089 and 1091 = GCF of 1091 and 1089

Related Greatest Common Factor of 1089

Related Greatest Common Factor of 1091

Frequently Asked Questions on GCF of 1089 and 1091

1. What is the GCF of 1089 and 1091?

Answer: GCF of 1089 and 1091 is 1.

2. What are the Factors of 1089?

Answer: Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. There are 9 integers that are factors of 1089. The greatest factor of 1089 is 1089.

3. What are the Factors of 1091?

Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.

4. How to Find the GCF of 1089 and 1091?

Answer:

Greatest Common Factor of 1089 and 1091 = 1

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1091

1091 = 1091

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 1089 and 1091 is 1