What is the Greatest Common Factor of 23211 and 23229?

Greatest common factor (GCF) of 23211 and 23229 is 9.

GCF(23211,23229) = 9

We will now calculate the prime factors of 23211 and 23229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23211 and 23229.

How to find the GCF of 23211 and 23229?

We will first find the prime factorization of 23211 and 23229. After we will calculate the factors of 23211 and 23229 and find the biggest common factor number .

Step-1: Prime Factorization of 23211

Prime factors of 23211 are 3, 2579. Prime factorization of 23211 in exponential form is:

23211 = 3² × 2579¹

Step-2: 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-3: Factors of 23211

List of positive integer factors of 23211 that divides 23211 without a remainder.

1, 3, 9, 2579, 7737

Step-4: Factors of 23229

List of positive integer factors of 23229 that divides 23211 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23211 and 23229. The biggest common factor number is the GCF number.
So the greatest common factor 23211 and 23229 is 9.

Also check out the Least Common Multiple of 23211 and 23229