What is the Greatest Common Factor of 75189 and 75201?

Greatest common factor (GCF) of 75189 and 75201 is 3.

GCF(75189,75201) = 3

We will now calculate the prime factors of 75189 and 75201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75189 and 75201.

How to find the GCF of 75189 and 75201?

We will first find the prime factorization of 75189 and 75201. After we will calculate the factors of 75189 and 75201 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75201

Prime factors of 75201 are 3, 7, 3581. Prime factorization of 75201 in exponential form is:

75201 = 3¹ × 7¹ × 3581¹

Step-3: Factors of 75189

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

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

Step-4: Factors of 75201

List of positive integer factors of 75201 that divides 75189 without a remainder.

1, 3, 7, 21, 3581, 10743, 25067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75189 and 75201. The biggest common factor number is the GCF number.
So the greatest common factor 75189 and 75201 is 3.

Also check out the Least Common Multiple of 75189 and 75201