What is the Greatest Common Factor of 75165 and 75171?

Greatest common factor (GCF) of 75165 and 75171 is 3.

GCF(75165,75171) = 3

We will now calculate the prime factors of 75165 and 75171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75165 and 75171.

How to find the GCF of 75165 and 75171?

We will first find the prime factorization of 75165 and 75171. After we will calculate the factors of 75165 and 75171 and find the biggest common factor number .

Step-1: Prime Factorization of 75165

Prime factors of 75165 are 3, 5, 5011. Prime factorization of 75165 in exponential form is:

75165 = 3¹ × 5¹ × 5011¹

Step-2: Prime Factorization of 75171

Prime factors of 75171 are 3, 25057. Prime factorization of 75171 in exponential form is:

75171 = 3¹ × 25057¹

Step-3: Factors of 75165

List of positive integer factors of 75165 that divides 75165 without a remainder.

1, 3, 5, 15, 5011, 15033, 25055

Step-4: Factors of 75171

List of positive integer factors of 75171 that divides 75165 without a remainder.

1, 3, 25057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75165 and 75171. The biggest common factor number is the GCF number.
So the greatest common factor 75165 and 75171 is 3.

Also check out the Least Common Multiple of 75165 and 75171