What is the Greatest Common Factor of 20416 and 20427?

Greatest common factor (GCF) of 20416 and 20427 is 11.

GCF(20416,20427) = 11

We will now calculate the prime factors of 20416 and 20427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20416 and 20427.

How to find the GCF of 20416 and 20427?

We will first find the prime factorization of 20416 and 20427. After we will calculate the factors of 20416 and 20427 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 20427

Prime factors of 20427 are 3, 11, 619. Prime factorization of 20427 in exponential form is:

20427 = 3¹ × 11¹ × 619¹

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 20427

List of positive integer factors of 20427 that divides 20416 without a remainder.

1, 3, 11, 33, 619, 1857, 6809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20416 and 20427. The biggest common factor number is the GCF number.
So the greatest common factor 20416 and 20427 is 11.

Also check out the Least Common Multiple of 20416 and 20427