What is the Greatest Common Factor of 73158 and 73169?

Greatest common factor (GCF) of 73158 and 73169 is 1.

GCF(73158,73169) = 1

We will now calculate the prime factors of 73158 and 73169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73158 and 73169.

How to find the GCF of 73158 and 73169?

We will first find the prime factorization of 73158 and 73169. After we will calculate the factors of 73158 and 73169 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 73169

Prime factors of 73169 are 19, 3851. Prime factorization of 73169 in exponential form is:

73169 = 19¹ × 3851¹

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 73169

List of positive integer factors of 73169 that divides 73158 without a remainder.

1, 19, 3851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73158 and 73169. The biggest common factor number is the GCF number.
So the greatest common factor 73158 and 73169 is 1.

Also check out the Least Common Multiple of 73158 and 73169