What is the Greatest Common Factor of 73158 and 73176?

Greatest common factor (GCF) of 73158 and 73176 is 6.

GCF(73158,73176) = 6

We will now calculate the prime factors of 73158 and 73176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73158 and 73176.

How to find the GCF of 73158 and 73176?

We will first find the prime factorization of 73158 and 73176. After we will calculate the factors of 73158 and 73176 and find the biggest common factor number .

Step-1: Prime Factorization of 73158

Prime factors of 73158 are 2, 3, 89, 137. Prime factorization of 73158 in exponential form is:

73158 = 2¹ × 3¹ × 89¹ × 137¹

Step-2: Prime Factorization of 73176

Prime factors of 73176 are 2, 3, 3049. Prime factorization of 73176 in exponential form is:

73176 = 2³ × 3¹ × 3049¹

Step-3: Factors of 73158

List of positive integer factors of 73158 that divides 73158 without a remainder.

1, 2, 3, 6, 89, 137, 178, 267, 274, 411, 534, 822, 12193, 24386, 36579

Step-4: Factors of 73176

List of positive integer factors of 73176 that divides 73158 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3049, 6098, 9147, 12196, 18294, 24392, 36588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73158 and 73176. The biggest common factor number is the GCF number.
So the greatest common factor 73158 and 73176 is 6.

Also check out the Least Common Multiple of 73158 and 73176