What is the Greatest Common Factor of 11238 and 11251?

Greatest common factor (GCF) of 11238 and 11251 is 1.

GCF(11238,11251) = 1

We will now calculate the prime factors of 11238 and 11251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11238 and 11251.

How to find the GCF of 11238 and 11251?

We will first find the prime factorization of 11238 and 11251. After we will calculate the factors of 11238 and 11251 and find the biggest common factor number .

Step-1: Prime Factorization of 11238

Prime factors of 11238 are 2, 3, 1873. Prime factorization of 11238 in exponential form is:

11238 = 2¹ × 3¹ × 1873¹

Step-2: Prime Factorization of 11251

Prime factors of 11251 are 11251. Prime factorization of 11251 in exponential form is:

11251 = 11251¹

Step-3: Factors of 11238

List of positive integer factors of 11238 that divides 11238 without a remainder.

1, 2, 3, 6, 1873, 3746, 5619

Step-4: Factors of 11251

List of positive integer factors of 11251 that divides 11238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11238 and 11251. The biggest common factor number is the GCF number.
So the greatest common factor 11238 and 11251 is 1.

Also check out the Least Common Multiple of 11238 and 11251