What is the Greatest Common Factor of 23229 and 23244?

Greatest common factor (GCF) of 23229 and 23244 is 3.

GCF(23229,23244) = 3

We will now calculate the prime factors of 23229 and 23244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23229 and 23244.

How to find the GCF of 23229 and 23244?

We will first find the prime factorization of 23229 and 23244. After we will calculate the factors of 23229 and 23244 and find the biggest common factor number .

Step-1: Prime Factorization of 23229

Prime factors of 23229 are 3, 29, 89. Prime factorization of 23229 in exponential form is:

23229 = 3² × 29¹ × 89¹

Step-2: Prime Factorization of 23244

Prime factors of 23244 are 2, 3, 13, 149. Prime factorization of 23244 in exponential form is:

23244 = 2² × 3¹ × 13¹ × 149¹

Step-3: Factors of 23229

List of positive integer factors of 23229 that divides 23229 without a remainder.

1, 3, 9, 29, 87, 89, 261, 267, 801, 2581, 7743

Step-4: Factors of 23244

List of positive integer factors of 23244 that divides 23229 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 149, 156, 298, 447, 596, 894, 1788, 1937, 3874, 5811, 7748, 11622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23229 and 23244. The biggest common factor number is the GCF number.
So the greatest common factor 23229 and 23244 is 3.

Also check out the Least Common Multiple of 23229 and 23244