What is the Greatest Common Factor of 75184 and 75189?

Greatest common factor (GCF) of 75184 and 75189 is 1.

GCF(75184,75189) = 1

We will now calculate the prime factors of 75184 and 75189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75184 and 75189.

How to find the GCF of 75184 and 75189?

We will first find the prime factorization of 75184 and 75189. After we will calculate the factors of 75184 and 75189 and find the biggest common factor number .

Step-1: Prime Factorization of 75184

Prime factors of 75184 are 2, 37, 127. Prime factorization of 75184 in exponential form is:

75184 = 2⁴ × 37¹ × 127¹

Step-2: Prime Factorization of 75189

Prime factors of 75189 are 3, 71, 353. Prime factorization of 75189 in exponential form is:

75189 = 3¹ × 71¹ × 353¹

Step-3: Factors of 75184

List of positive integer factors of 75184 that divides 75184 without a remainder.

1, 2, 4, 8, 16, 37, 74, 127, 148, 254, 296, 508, 592, 1016, 2032, 4699, 9398, 18796, 37592

Step-4: Factors of 75189

List of positive integer factors of 75189 that divides 75184 without a remainder.

1, 3, 71, 213, 353, 1059, 25063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75184 and 75189. The biggest common factor number is the GCF number.
So the greatest common factor 75184 and 75189 is 1.

Also check out the Least Common Multiple of 75184 and 75189