What is the Greatest Common Factor of 20064 and 20076?

Greatest common factor (GCF) of 20064 and 20076 is 12.

GCF(20064,20076) = 12

We will now calculate the prime factors of 20064 and 20076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20064 and 20076.

How to find the GCF of 20064 and 20076?

We will first find the prime factorization of 20064 and 20076. After we will calculate the factors of 20064 and 20076 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 20076

Prime factors of 20076 are 2, 3, 7, 239. Prime factorization of 20076 in exponential form is:

20076 = 2² × 3¹ × 7¹ × 239¹

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 20076

List of positive integer factors of 20076 that divides 20064 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 239, 478, 717, 956, 1434, 1673, 2868, 3346, 5019, 6692, 10038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20064 and 20076. The biggest common factor number is the GCF number.
So the greatest common factor 20064 and 20076 is 12.

Also check out the Least Common Multiple of 20064 and 20076