What is the Greatest Common Factor of 11109 and 11129?

Greatest common factor (GCF) of 11109 and 11129 is 1.

GCF(11109,11129) = 1

We will now calculate the prime factors of 11109 and 11129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11109 and 11129.

How to find the GCF of 11109 and 11129?

We will first find the prime factorization of 11109 and 11129. After we will calculate the factors of 11109 and 11129 and find the biggest common factor number .

Step-1: Prime Factorization of 11109

Prime factors of 11109 are 3, 7, 23. Prime factorization of 11109 in exponential form is:

11109 = 3¹ × 7¹ × 23²

Step-2: Prime Factorization of 11129

Prime factors of 11129 are 31, 359. Prime factorization of 11129 in exponential form is:

11129 = 31¹ × 359¹

Step-3: Factors of 11109

List of positive integer factors of 11109 that divides 11109 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483, 529, 1587, 3703

Step-4: Factors of 11129

List of positive integer factors of 11129 that divides 11109 without a remainder.

1, 31, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11109 and 11129. The biggest common factor number is the GCF number.
So the greatest common factor 11109 and 11129 is 1.

Also check out the Least Common Multiple of 11109 and 11129