What is the Greatest Common Factor of 20064 and 20075?

Greatest common factor (GCF) of 20064 and 20075 is 11.

GCF(20064,20075) = 11

We will now calculate the prime factors of 20064 and 20075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20075.

How to find the GCF of 20064 and 20075?

We will first find the prime factorization of 20064 and 20075. After we will calculate the factors of 20064 and 20075 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 20075

Prime factors of 20075 are 5, 11, 73. Prime factorization of 20075 in exponential form is:

20075 = 5² × 11¹ × 73¹

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 20075

List of positive integer factors of 20075 that divides 20064 without a remainder.

1, 5, 11, 25, 55, 73, 275, 365, 803, 1825, 4015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20075. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20075 is 11.

Also check out the Least Common Multiple of 20064 and 20075