What is the Greatest Common Factor of 75387 and 75401?

Greatest common factor (GCF) of 75387 and 75401 is 1.

GCF(75387,75401) = 1

We will now calculate the prime factors of 75387 and 75401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75387 and 75401.

How to find the GCF of 75387 and 75401?

We will first find the prime factorization of 75387 and 75401. After we will calculate the factors of 75387 and 75401 and find the biggest common factor number .

Step-1: Prime Factorization of 75387

Prime factors of 75387 are 3, 13, 1933. Prime factorization of 75387 in exponential form is:

75387 = 3¹ × 13¹ × 1933¹

Step-2: Prime Factorization of 75401

Prime factors of 75401 are 75401. Prime factorization of 75401 in exponential form is:

75401 = 75401¹

Step-3: Factors of 75387

List of positive integer factors of 75387 that divides 75387 without a remainder.

1, 3, 13, 39, 1933, 5799, 25129

Step-4: Factors of 75401

List of positive integer factors of 75401 that divides 75387 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75387 and 75401. The biggest common factor number is the GCF number.
So the greatest common factor 75387 and 75401 is 1.

Also check out the Least Common Multiple of 75387 and 75401