What is the Greatest Common Factor of 20416 and 20428?

Greatest common factor (GCF) of 20416 and 20428 is 4.

GCF(20416,20428) = 4

We will now calculate the prime factors of 20416 and 20428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20416 and 20428.

How to find the GCF of 20416 and 20428?

We will first find the prime factorization of 20416 and 20428. After we will calculate the factors of 20416 and 20428 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 20428

Prime factors of 20428 are 2, 5107. Prime factorization of 20428 in exponential form is:

20428 = 2² × 5107¹

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 20428

List of positive integer factors of 20428 that divides 20416 without a remainder.

1, 2, 4, 5107, 10214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20416 and 20428. The biggest common factor number is the GCF number.
So the greatest common factor 20416 and 20428 is 4.

Also check out the Least Common Multiple of 20416 and 20428