What is the Greatest Common Factor of 11076 and 11089?

Greatest common factor (GCF) of 11076 and 11089 is 13.

GCF(11076,11089) = 13

We will now calculate the prime factors of 11076 and 11089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11076 and 11089.

How to find the GCF of 11076 and 11089?

We will first find the prime factorization of 11076 and 11089. After we will calculate the factors of 11076 and 11089 and find the biggest common factor number .

Step-1: Prime Factorization of 11076

Prime factors of 11076 are 2, 3, 13, 71. Prime factorization of 11076 in exponential form is:

11076 = 2² × 3¹ × 13¹ × 71¹

Step-2: Prime Factorization of 11089

Prime factors of 11089 are 13, 853. Prime factorization of 11089 in exponential form is:

11089 = 13¹ × 853¹

Step-3: Factors of 11076

List of positive integer factors of 11076 that divides 11076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538

Step-4: Factors of 11089

List of positive integer factors of 11089 that divides 11076 without a remainder.

1, 13, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11076 and 11089. The biggest common factor number is the GCF number.
So the greatest common factor 11076 and 11089 is 13.

Also check out the Least Common Multiple of 11076 and 11089