What is the Greatest Common Factor of 20064 and 20079?

Greatest common factor (GCF) of 20064 and 20079 is 3.

GCF(20064,20079) = 3

We will now calculate the prime factors of 20064 and 20079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20079.

How to find the GCF of 20064 and 20079?

We will first find the prime factorization of 20064 and 20079. After we will calculate the factors of 20064 and 20079 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 20079

Prime factors of 20079 are 3, 23, 97. Prime factorization of 20079 in exponential form is:

20079 = 3² × 23¹ × 97¹

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 20079

List of positive integer factors of 20079 that divides 20064 without a remainder.

1, 3, 9, 23, 69, 97, 207, 291, 873, 2231, 6693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20079. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20079 is 3.

Also check out the Least Common Multiple of 20064 and 20079