Greatest Common Factor of 1089 and 1096

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, 1096 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1089 and 1096 is 1.

GCF(1089,1096) = 1

GCF of 1089 and 1096

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

GCF of:
and

Greatest Common Factor of 1089 and 1096

GCF of 1089 and 1096 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 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

∴ So by taking common prime factors GCF of 1089 and 1096 is 1

Greatest Common Factor of 1089 and 1096 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 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Greatest Common Factor

We found the factors and prime factorization of 1089 and 1096. The biggest common factor number is the GCF number.
So the greatest common factor 1089 and 1096 is 1.

Also check out the Least Common Multiple of 1089 and 1096

Properties of GCF 1089 and 1096

(i) The GCF of 1089 and 1096 is associative

GCF of 1089 and 1096 = GCF of 1096 and 1089

Related Greatest Common Factor of 1089

Related Greatest Common Factor of 1096

Frequently Asked Questions on GCF of 1089 and 1096

1. What is the GCF of 1089 and 1096?

Answer: GCF of 1089 and 1096 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 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

4. How to Find the GCF of 1089 and 1096?

Answer:

Greatest Common Factor of 1089 and 1096 = 1

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

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 1096 is 1