What is the Greatest Common Factor of 12416 and 12428?

Greatest common factor (GCF) of 12416 and 12428 is 4.

GCF(12416,12428) = 4

We will now calculate the prime factors of 12416 and 12428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12428.

How to find the GCF of 12416 and 12428?

We will first find the prime factorization of 12416 and 12428. After we will calculate the factors of 12416 and 12428 and find the biggest common factor number .

Step-1: Prime Factorization of 12416

Prime factors of 12416 are 2, 97. Prime factorization of 12416 in exponential form is:

12416 = 2⁷ × 97¹

Step-2: 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-3: Factors of 12416

List of positive integer factors of 12416 that divides 12416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208

Step-4: Factors of 12428

List of positive integer factors of 12428 that divides 12416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12416 and 12428. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12428 is 4.

Also check out the Least Common Multiple of 12416 and 12428