What is the Greatest Common Factor of 11129 and 11140?

Greatest common factor (GCF) of 11129 and 11140 is 1.

GCF(11129,11140) = 1

We will now calculate the prime factors of 11129 and 11140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11129 and 11140.

How to find the GCF of 11129 and 11140?

We will first find the prime factorization of 11129 and 11140. After we will calculate the factors of 11129 and 11140 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 11140

Prime factors of 11140 are 2, 5, 557. Prime factorization of 11140 in exponential form is:

11140 = 2² × 5¹ × 557¹

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 11140

List of positive integer factors of 11140 that divides 11129 without a remainder.

1, 2, 4, 5, 10, 20, 557, 1114, 2228, 2785, 5570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11129 and 11140. The biggest common factor number is the GCF number.
So the greatest common factor 11129 and 11140 is 1.

Also check out the Least Common Multiple of 11129 and 11140