What is the Greatest Common Factor of 20416 and 20424?

Greatest common factor (GCF) of 20416 and 20424 is 8.

GCF(20416,20424) = 8

We will now calculate the prime factors of 20416 and 20424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20416 and 20424.

How to find the GCF of 20416 and 20424?

We will first find the prime factorization of 20416 and 20424. After we will calculate the factors of 20416 and 20424 and find the biggest common factor number .

Step-1: Prime Factorization of 20416

Prime factors of 20416 are 2, 11, 29. Prime factorization of 20416 in exponential form is:

20416 = 2⁶ × 11¹ × 29¹

Step-2: Prime Factorization of 20424

Prime factors of 20424 are 2, 3, 23, 37. Prime factorization of 20424 in exponential form is:

20424 = 2³ × 3¹ × 23¹ × 37¹

Step-3: Factors of 20416

List of positive integer factors of 20416 that divides 20416 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 64, 88, 116, 176, 232, 319, 352, 464, 638, 704, 928, 1276, 1856, 2552, 5104, 10208

Step-4: Factors of 20424

List of positive integer factors of 20424 that divides 20416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20416 and 20424. The biggest common factor number is the GCF number.
So the greatest common factor 20416 and 20424 is 8.

Also check out the Least Common Multiple of 20416 and 20424