What is the Greatest Common Factor of 75897 and 75903?

Greatest common factor (GCF) of 75897 and 75903 is 3.

GCF(75897,75903) = 3

We will now calculate the prime factors of 75897 and 75903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75897 and 75903.

How to find the GCF of 75897 and 75903?

We will first find the prime factorization of 75897 and 75903. After we will calculate the factors of 75897 and 75903 and find the biggest common factor number .

Step-1: Prime Factorization of 75897

Prime factors of 75897 are 3, 937. Prime factorization of 75897 in exponential form is:

75897 = 3⁴ × 937¹

Step-2: Prime Factorization of 75903

Prime factors of 75903 are 3, 25301. Prime factorization of 75903 in exponential form is:

75903 = 3¹ × 25301¹

Step-3: Factors of 75897

List of positive integer factors of 75897 that divides 75897 without a remainder.

1, 3, 9, 27, 81, 937, 2811, 8433, 25299

Step-4: Factors of 75903

List of positive integer factors of 75903 that divides 75897 without a remainder.

1, 3, 25301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75897 and 75903. The biggest common factor number is the GCF number.
So the greatest common factor 75897 and 75903 is 3.

Also check out the Least Common Multiple of 75897 and 75903