What is the Greatest Common Factor of 12416 and 12421?

Greatest common factor (GCF) of 12416 and 12421 is 1.

GCF(12416,12421) = 1

We will now calculate the prime factors of 12416 and 12421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12421.

How to find the GCF of 12416 and 12421?

We will first find the prime factorization of 12416 and 12421. After we will calculate the factors of 12416 and 12421 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 12421

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 12421¹

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 12421

List of positive integer factors of 12421 that divides 12416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12416 and 12421. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12421 is 1.

Also check out the Least Common Multiple of 12416 and 12421