What is the Greatest Common Factor of 20064 and 20083?

Greatest common factor (GCF) of 20064 and 20083 is 19.

GCF(20064,20083) = 19

We will now calculate the prime factors of 20064 and 20083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20083.

How to find the GCF of 20064 and 20083?

We will first find the prime factorization of 20064 and 20083. After we will calculate the factors of 20064 and 20083 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 20083

Prime factors of 20083 are 7, 19, 151. Prime factorization of 20083 in exponential form is:

20083 = 7¹ × 19¹ × 151¹

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 20083

List of positive integer factors of 20083 that divides 20064 without a remainder.

1, 7, 19, 133, 151, 1057, 2869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20083. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20083 is 19.

Also check out the Least Common Multiple of 20064 and 20083