What is the Greatest Common Factor of 20320 and 20336?

Greatest common factor (GCF) of 20320 and 20336 is 16.

GCF(20320,20336) = 16

We will now calculate the prime factors of 20320 and 20336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20320 and 20336.

How to find the GCF of 20320 and 20336?

We will first find the prime factorization of 20320 and 20336. After we will calculate the factors of 20320 and 20336 and find the biggest common factor number .

Step-1: Prime Factorization of 20320

Prime factors of 20320 are 2, 5, 127. Prime factorization of 20320 in exponential form is:

20320 = 2⁵ × 5¹ × 127¹

Step-2: Prime Factorization of 20336

Prime factors of 20336 are 2, 31, 41. Prime factorization of 20336 in exponential form is:

20336 = 2⁴ × 31¹ × 41¹

Step-3: Factors of 20320

List of positive integer factors of 20320 that divides 20320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 127, 160, 254, 508, 635, 1016, 1270, 2032, 2540, 4064, 5080, 10160

Step-4: Factors of 20336

List of positive integer factors of 20336 that divides 20320 without a remainder.

1, 2, 4, 8, 16, 31, 41, 62, 82, 124, 164, 248, 328, 496, 656, 1271, 2542, 5084, 10168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20320 and 20336. The biggest common factor number is the GCF number.
So the greatest common factor 20320 and 20336 is 16.

Also check out the Least Common Multiple of 20320 and 20336