What is the Greatest Common Factor of 11137 and 11149?

Greatest common factor (GCF) of 11137 and 11149 is 1.

GCF(11137,11149) = 1

We will now calculate the prime factors of 11137 and 11149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11137 and 11149.

How to find the GCF of 11137 and 11149?

We will first find the prime factorization of 11137 and 11149. After we will calculate the factors of 11137 and 11149 and find the biggest common factor number .

Step-1: Prime Factorization of 11137

Prime factors of 11137 are 7, 37, 43. Prime factorization of 11137 in exponential form is:

11137 = 7¹ × 37¹ × 43¹

Step-2: Prime Factorization of 11149

Prime factors of 11149 are 11149. Prime factorization of 11149 in exponential form is:

11149 = 11149¹

Step-3: Factors of 11137

List of positive integer factors of 11137 that divides 11137 without a remainder.

1, 7, 37, 43, 259, 301, 1591

Step-4: Factors of 11149

List of positive integer factors of 11149 that divides 11137 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11137 and 11149. The biggest common factor number is the GCF number.
So the greatest common factor 11137 and 11149 is 1.

Also check out the Least Common Multiple of 11137 and 11149