Greatest Common Factor of 1089 and 1095

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, 1095 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1089 and 1095 is 3.

GCF(1089,1095) = 3

GCF of 1089 and 1095

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

GCF of:
and

Greatest Common Factor of 1089 and 1095

GCF of 1089 and 1095 is 3

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 1095


3 1095
5 365
73 73
1

Prime factors of 1095 are 3,5,73. Prime factorization of 1095 in exponential form is:

1095 = 31×51×731

∴ So by taking common prime factors GCF of 1089 and 1095 is 3

Greatest Common Factor of 1089 and 1095 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 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors and prime factorization of 1089 and 1095. The biggest common factor number is the GCF number.
So the greatest common factor 1089 and 1095 is 3.

Also check out the Least Common Multiple of 1089 and 1095

Properties of GCF 1089 and 1095

(i) The GCF of 1089 and 1095 is associative

GCF of 1089 and 1095 = GCF of 1095 and 1089

Related Greatest Common Factor of 1089

Related Greatest Common Factor of 1095

Frequently Asked Questions on GCF of 1089 and 1095

1. What is the GCF of 1089 and 1095?

Answer: GCF of 1089 and 1095 is 3.

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 1095?

Answer: Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. There are 8 integers that are factors of 1095. The greatest factor of 1095 is 1095.

4. How to Find the GCF of 1089 and 1095?

Answer:

Greatest Common Factor of 1089 and 1095 = 3

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1095

1095 = 3 x 5 x 73

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 1089 and 1095 is 3