What is the Greatest Common Factor of 11229 and 11239?

Greatest common factor (GCF) of 11229 and 11239 is 1.

GCF(11229,11239) = 1

We will now calculate the prime factors of 11229 and 11239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11229 and 11239.

How to find the GCF of 11229 and 11239?

We will first find the prime factorization of 11229 and 11239. After we will calculate the factors of 11229 and 11239 and find the biggest common factor number .

Step-1: Prime Factorization of 11229

Prime factors of 11229 are 3, 19, 197. Prime factorization of 11229 in exponential form is:

11229 = 3¹ × 19¹ × 197¹

Step-2: Prime Factorization of 11239

Prime factors of 11239 are 11239. Prime factorization of 11239 in exponential form is:

11239 = 11239¹

Step-3: Factors of 11229

List of positive integer factors of 11229 that divides 11229 without a remainder.

1, 3, 19, 57, 197, 591, 3743

Step-4: Factors of 11239

List of positive integer factors of 11239 that divides 11229 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11229 and 11239. The biggest common factor number is the GCF number.
So the greatest common factor 11229 and 11239 is 1.

Also check out the Least Common Multiple of 11229 and 11239