What is the Greatest Common Factor of 12221 and 12232?

Greatest common factor (GCF) of 12221 and 12232 is 11.

GCF(12221,12232) = 11

We will now calculate the prime factors of 12221 and 12232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12221 and 12232.

How to find the GCF of 12221 and 12232?

We will first find the prime factorization of 12221 and 12232. After we will calculate the factors of 12221 and 12232 and find the biggest common factor number .

Step-1: Prime Factorization of 12221

Prime factors of 12221 are 11, 101. Prime factorization of 12221 in exponential form is:

12221 = 11² × 101¹

Step-2: Prime Factorization of 12232

Prime factors of 12232 are 2, 11, 139. Prime factorization of 12232 in exponential form is:

12232 = 2³ × 11¹ × 139¹

Step-3: Factors of 12221

List of positive integer factors of 12221 that divides 12221 without a remainder.

1, 11, 101, 121, 1111

Step-4: Factors of 12232

List of positive integer factors of 12232 that divides 12221 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12221 and 12232. The biggest common factor number is the GCF number.
So the greatest common factor 12221 and 12232 is 11.

Also check out the Least Common Multiple of 12221 and 12232