What is the Greatest Common Factor of 12224 and 12234?

Greatest common factor (GCF) of 12224 and 12234 is 2.

GCF(12224,12234) = 2

We will now calculate the prime factors of 12224 and 12234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12224 and 12234.

How to find the GCF of 12224 and 12234?

We will first find the prime factorization of 12224 and 12234. After we will calculate the factors of 12224 and 12234 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 12234

Prime factors of 12234 are 2, 3, 2039. Prime factorization of 12234 in exponential form is:

12234 = 2¹ × 3¹ × 2039¹

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 12234

List of positive integer factors of 12234 that divides 12224 without a remainder.

1, 2, 3, 6, 2039, 4078, 6117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12224 and 12234. The biggest common factor number is the GCF number.
So the greatest common factor 12224 and 12234 is 2.

Also check out the Least Common Multiple of 12224 and 12234