What is the Greatest Common Factor of 73008 and 73017?

Greatest common factor (GCF) of 73008 and 73017 is 9.

GCF(73008,73017) = 9

We will now calculate the prime factors of 73008 and 73017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73008 and 73017.

How to find the GCF of 73008 and 73017?

We will first find the prime factorization of 73008 and 73017. After we will calculate the factors of 73008 and 73017 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 73017

Prime factors of 73017 are 3, 7, 19, 61. Prime factorization of 73017 in exponential form is:

73017 = 3² × 7¹ × 19¹ × 61¹

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 73017

List of positive integer factors of 73017 that divides 73008 without a remainder.

1, 3, 7, 9, 19, 21, 57, 61, 63, 133, 171, 183, 399, 427, 549, 1159, 1197, 1281, 3477, 3843, 8113, 10431, 24339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73008 and 73017. The biggest common factor number is the GCF number.
So the greatest common factor 73008 and 73017 is 9.

Also check out the Least Common Multiple of 73008 and 73017