What is the Greatest Common Factor of 73008 and 73012?

Greatest common factor (GCF) of 73008 and 73012 is 4.

GCF(73008,73012) = 4

We will now calculate the prime factors of 73008 and 73012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73008 and 73012.

How to find the GCF of 73008 and 73012?

We will first find the prime factorization of 73008 and 73012. After we will calculate the factors of 73008 and 73012 and find the biggest common factor number .

Step-1: Prime Factorization of 73008

Prime factors of 73008 are 2, 3, 13. Prime factorization of 73008 in exponential form is:

73008 = 2⁴ × 3³ × 13²

Step-2: Prime Factorization of 73012

Prime factors of 73012 are 2, 18253. Prime factorization of 73012 in exponential form is:

73012 = 2² × 18253¹

Step-3: Factors of 73008

List of positive integer factors of 73008 that divides 73008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 169, 208, 216, 234, 312, 338, 351, 432, 468, 507, 624, 676, 702, 936, 1014, 1352, 1404, 1521, 1872, 2028, 2704, 2808, 3042, 4056, 4563, 5616, 6084, 8112, 9126, 12168, 18252, 24336, 36504

Step-4: Factors of 73012

List of positive integer factors of 73012 that divides 73008 without a remainder.

1, 2, 4, 18253, 36506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73008 and 73012. The biggest common factor number is the GCF number.
So the greatest common factor 73008 and 73012 is 4.

Also check out the Least Common Multiple of 73008 and 73012