What is the Greatest Common Factor of 73168 and 73185?

Greatest common factor (GCF) of 73168 and 73185 is 17.

GCF(73168,73185) = 17

We will now calculate the prime factors of 73168 and 73185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73168 and 73185.

How to find the GCF of 73168 and 73185?

We will first find the prime factorization of 73168 and 73185. After we will calculate the factors of 73168 and 73185 and find the biggest common factor number .

Step-1: Prime Factorization of 73168

Prime factors of 73168 are 2, 17, 269. Prime factorization of 73168 in exponential form is:

73168 = 2⁴ × 17¹ × 269¹

Step-2: Prime Factorization of 73185

Prime factors of 73185 are 3, 5, 7, 17, 41. Prime factorization of 73185 in exponential form is:

73185 = 3¹ × 5¹ × 7¹ × 17¹ × 41¹

Step-3: Factors of 73168

List of positive integer factors of 73168 that divides 73168 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 269, 272, 538, 1076, 2152, 4304, 4573, 9146, 18292, 36584

Step-4: Factors of 73185

List of positive integer factors of 73185 that divides 73168 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 41, 51, 85, 105, 119, 123, 205, 255, 287, 357, 595, 615, 697, 861, 1435, 1785, 2091, 3485, 4305, 4879, 10455, 14637, 24395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73168 and 73185. The biggest common factor number is the GCF number.
So the greatest common factor 73168 and 73185 is 17.

Also check out the Least Common Multiple of 73168 and 73185