What is the Greatest Common Factor of 11229 and 11244?

Greatest common factor (GCF) of 11229 and 11244 is 3.

GCF(11229,11244) = 3

We will now calculate the prime factors of 11229 and 11244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11229 and 11244.

How to find the GCF of 11229 and 11244?

We will first find the prime factorization of 11229 and 11244. After we will calculate the factors of 11229 and 11244 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 11244

Prime factors of 11244 are 2, 3, 937. Prime factorization of 11244 in exponential form is:

11244 = 2² × 3¹ × 937¹

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 11244

List of positive integer factors of 11244 that divides 11229 without a remainder.

1, 2, 3, 4, 6, 12, 937, 1874, 2811, 3748, 5622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11229 and 11244. The biggest common factor number is the GCF number.
So the greatest common factor 11229 and 11244 is 3.

Also check out the Least Common Multiple of 11229 and 11244