What is the Greatest Common Factor of 20064 and 20081?

Greatest common factor (GCF) of 20064 and 20081 is 1.

GCF(20064,20081) = 1

We will now calculate the prime factors of 20064 and 20081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20081.

How to find the GCF of 20064 and 20081?

We will first find the prime factorization of 20064 and 20081. After we will calculate the factors of 20064 and 20081 and find the biggest common factor number .

Step-1: Prime Factorization of 20064

Prime factors of 20064 are 2, 3, 11, 19. Prime factorization of 20064 in exponential form is:

20064 = 2⁵ × 3¹ × 11¹ × 19¹

Step-2: Prime Factorization of 20081

Prime factors of 20081 are 43, 467. Prime factorization of 20081 in exponential form is:

20081 = 43¹ × 467¹

Step-3: Factors of 20064

List of positive integer factors of 20064 that divides 20064 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 66, 76, 88, 96, 114, 132, 152, 176, 209, 228, 264, 304, 352, 418, 456, 528, 608, 627, 836, 912, 1056, 1254, 1672, 1824, 2508, 3344, 5016, 6688, 10032

Step-4: Factors of 20081

List of positive integer factors of 20081 that divides 20064 without a remainder.

1, 43, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20081. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20081 is 1.

Also check out the Least Common Multiple of 20064 and 20081