Greatest Common Factor of 1089 and 1092

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, 1092 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1089 and 1092 is 3.

GCF(1089,1092) = 3

GCF of 1089 and 1092

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

GCF of:
and

Greatest Common Factor of 1089 and 1092

GCF of 1089 and 1092 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 1092


2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 1092 are 2,3,7,13. Prime factorization of 1092 in exponential form is:

1092 = 22×31×71×131

∴ So by taking common prime factors GCF of 1089 and 1092 is 3

Greatest Common Factor of 1089 and 1092 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 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Greatest Common Factor

We found the factors and prime factorization of 1089 and 1092. The biggest common factor number is the GCF number.
So the greatest common factor 1089 and 1092 is 3.

Also check out the Least Common Multiple of 1089 and 1092

Properties of GCF 1089 and 1092

(i) The GCF of 1089 and 1092 is associative

GCF of 1089 and 1092 = GCF of 1092 and 1089

Related Greatest Common Factor of 1089

Related Greatest Common Factor of 1092

Frequently Asked Questions on GCF of 1089 and 1092

1. What is the GCF of 1089 and 1092?

Answer: GCF of 1089 and 1092 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 1092?

Answer: Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. There are 24 integers that are factors of 1092. The greatest factor of 1092 is 1092.

4. How to Find the GCF of 1089 and 1092?

Answer:

Greatest Common Factor of 1089 and 1092 = 3

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1092

1092 = 2 x 2 x 3 x 7 x 13

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 1092 is 3