What is the Greatest Common Factor of 12428 and 12441?

Greatest common factor (GCF) of 12428 and 12441 is 13.

GCF(12428,12441) = 13

We will now calculate the prime factors of 12428 and 12441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12428 and 12441.

How to find the GCF of 12428 and 12441?

We will first find the prime factorization of 12428 and 12441. After we will calculate the factors of 12428 and 12441 and find the biggest common factor number .

Step-1: Prime Factorization of 12428

Prime factors of 12428 are 2, 13, 239. Prime factorization of 12428 in exponential form is:

12428 = 2² × 13¹ × 239¹

Step-2: Prime Factorization of 12441

Prime factors of 12441 are 3, 11, 13, 29. Prime factorization of 12441 in exponential form is:

12441 = 3¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 12428

List of positive integer factors of 12428 that divides 12428 without a remainder.

1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214

Step-4: Factors of 12441

List of positive integer factors of 12441 that divides 12428 without a remainder.

1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12428 and 12441. The biggest common factor number is the GCF number.
So the greatest common factor 12428 and 12441 is 13.

Also check out the Least Common Multiple of 12428 and 12441