What is the Greatest Common Factor of 12416 and 12420?

Greatest common factor (GCF) of 12416 and 12420 is 4.

GCF(12416,12420) = 4

We will now calculate the prime factors of 12416 and 12420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12420.

How to find the GCF of 12416 and 12420?

We will first find the prime factorization of 12416 and 12420. After we will calculate the factors of 12416 and 12420 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 12420

Prime factors of 12420 are 2, 3, 5, 23. Prime factorization of 12420 in exponential form is:

12420 = 2² × 3³ × 5¹ × 23¹

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 12420

List of positive integer factors of 12420 that divides 12416 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12416 and 12420. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12420 is 4.

Also check out the Least Common Multiple of 12416 and 12420