What is the Greatest Common Factor of 11089 and 11102?

Greatest common factor (GCF) of 11089 and 11102 is 13.

GCF(11089,11102) = 13

We will now calculate the prime factors of 11089 and 11102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11089 and 11102.

How to find the GCF of 11089 and 11102?

We will first find the prime factorization of 11089 and 11102. After we will calculate the factors of 11089 and 11102 and find the biggest common factor number .

Step-1: Prime Factorization of 11089

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

11089 = 13¹ × 853¹

Step-2: Prime Factorization of 11102

Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:

11102 = 2¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 11089

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

1, 13, 853

Step-4: Factors of 11102

List of positive integer factors of 11102 that divides 11089 without a remainder.

1, 2, 7, 13, 14, 26, 61, 91, 122, 182, 427, 793, 854, 1586, 5551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11089 and 11102. The biggest common factor number is the GCF number.
So the greatest common factor 11089 and 11102 is 13.

Also check out the Least Common Multiple of 11089 and 11102