What is the Greatest Common Factor of 12224 and 12241?

Greatest common factor (GCF) of 12224 and 12241 is 1.

GCF(12224,12241) = 1

We will now calculate the prime factors of 12224 and 12241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12224 and 12241.

How to find the GCF of 12224 and 12241?

We will first find the prime factorization of 12224 and 12241. After we will calculate the factors of 12224 and 12241 and find the biggest common factor number .

Step-1: Prime Factorization of 12224

Prime factors of 12224 are 2, 191. Prime factorization of 12224 in exponential form is:

12224 = 2⁶ × 191¹

Step-2: Prime Factorization of 12241

Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:

12241 = 12241¹

Step-3: Factors of 12224

List of positive integer factors of 12224 that divides 12224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 191, 382, 764, 1528, 3056, 6112

Step-4: Factors of 12241

List of positive integer factors of 12241 that divides 12224 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12224 and 12241. The biggest common factor number is the GCF number.
So the greatest common factor 12224 and 12241 is 1.

Also check out the Least Common Multiple of 12224 and 12241