What is the Greatest Common Factor of 12448 and 12462?

Greatest common factor (GCF) of 12448 and 12462 is 2.

GCF(12448,12462) = 2

We will now calculate the prime factors of 12448 and 12462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12448 and 12462.

How to find the GCF of 12448 and 12462?

We will first find the prime factorization of 12448 and 12462. After we will calculate the factors of 12448 and 12462 and find the biggest common factor number .

Step-1: Prime Factorization of 12448

Prime factors of 12448 are 2, 389. Prime factorization of 12448 in exponential form is:

12448 = 2⁵ × 389¹

Step-2: Prime Factorization of 12462

Prime factors of 12462 are 2, 3, 31, 67. Prime factorization of 12462 in exponential form is:

12462 = 2¹ × 3¹ × 31¹ × 67¹

Step-3: Factors of 12448

List of positive integer factors of 12448 that divides 12448 without a remainder.

1, 2, 4, 8, 16, 32, 389, 778, 1556, 3112, 6224

Step-4: Factors of 12462

List of positive integer factors of 12462 that divides 12448 without a remainder.

1, 2, 3, 6, 31, 62, 67, 93, 134, 186, 201, 402, 2077, 4154, 6231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12448 and 12462. The biggest common factor number is the GCF number.
So the greatest common factor 12448 and 12462 is 2.

Also check out the Least Common Multiple of 12448 and 12462