What is the Greatest Common Factor of 75150 and 75169?

Greatest common factor (GCF) of 75150 and 75169 is 1.

GCF(75150,75169) = 1

We will now calculate the prime factors of 75150 and 75169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75150 and 75169.

How to find the GCF of 75150 and 75169?

We will first find the prime factorization of 75150 and 75169. After we will calculate the factors of 75150 and 75169 and find the biggest common factor number .

Step-1: Prime Factorization of 75150

Prime factors of 75150 are 2, 3, 5, 167. Prime factorization of 75150 in exponential form is:

75150 = 2¹ × 3² × 5² × 167¹

Step-2: Prime Factorization of 75169

Prime factors of 75169 are 75169. Prime factorization of 75169 in exponential form is:

75169 = 75169¹

Step-3: Factors of 75150

List of positive integer factors of 75150 that divides 75150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 167, 225, 334, 450, 501, 835, 1002, 1503, 1670, 2505, 3006, 4175, 5010, 7515, 8350, 12525, 15030, 25050, 37575

Step-4: Factors of 75169

List of positive integer factors of 75169 that divides 75150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75150 and 75169. The biggest common factor number is the GCF number.
So the greatest common factor 75150 and 75169 is 1.

Also check out the Least Common Multiple of 75150 and 75169