What is the Greatest Common Factor of 11129 and 11133?

Greatest common factor (GCF) of 11129 and 11133 is 1.

GCF(11129,11133) = 1

We will now calculate the prime factors of 11129 and 11133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11129 and 11133.

How to find the GCF of 11129 and 11133?

We will first find the prime factorization of 11129 and 11133. After we will calculate the factors of 11129 and 11133 and find the biggest common factor number .

Step-1: Prime Factorization of 11129

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

11129 = 31¹ × 359¹

Step-2: Prime Factorization of 11133

Prime factors of 11133 are 3, 1237. Prime factorization of 11133 in exponential form is:

11133 = 3² × 1237¹

Step-3: Factors of 11129

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

1, 31, 359

Step-4: Factors of 11133

List of positive integer factors of 11133 that divides 11129 without a remainder.

1, 3, 9, 1237, 3711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11129 and 11133. The biggest common factor number is the GCF number.
So the greatest common factor 11129 and 11133 is 1.

Also check out the Least Common Multiple of 11129 and 11133