What is the Greatest Common Factor of 1089 and 1099?

Greatest common factor (GCF) of 1089 and 1099 is 1.

GCF(1089,1099) = 1

We will now calculate the prime factors of 1089 and 1099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1089 and 1099.

How to find the GCF of 1089 and 1099?

We will first find the prime factorization of 1089 and 1099. After we will calculate the factors of 1089 and 1099 and find the biggest common factor number .

Step-1: Prime Factorization of 1089

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

1089 = 3² × 11²

Step-2: Prime Factorization of 1099

Prime factors of 1099 are 7, 157. Prime factorization of 1099 in exponential form is:

1099 = 7¹ × 157¹

Step-3: Factors of 1089

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

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

Step-4: Factors of 1099

List of positive integer factors of 1099 that divides 1089 without a remainder.

1, 7, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1089 and 1099. The biggest common factor number is the GCF number.
So the greatest common factor 1089 and 1099 is 1.

Also check out the Least Common Multiple of 1089 and 1099