What is the Greatest Common Factor of 73158 and 73178?

Greatest common factor (GCF) of 73158 and 73178 is 2.

GCF(73158,73178) = 2

We will now calculate the prime factors of 73158 and 73178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73158 and 73178.

How to find the GCF of 73158 and 73178?

We will first find the prime factorization of 73158 and 73178. After we will calculate the factors of 73158 and 73178 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 73178

Prime factors of 73178 are 2, 7, 5227. Prime factorization of 73178 in exponential form is:

73178 = 2¹ × 7¹ × 5227¹

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 73178

List of positive integer factors of 73178 that divides 73158 without a remainder.

1, 2, 7, 14, 5227, 10454, 36589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73158 and 73178. The biggest common factor number is the GCF number.
So the greatest common factor 73158 and 73178 is 2.

Also check out the Least Common Multiple of 73158 and 73178