What is the Greatest Common Factor of 75303 and 75321?

Greatest common factor (GCF) of 75303 and 75321 is 9.

GCF(75303,75321) = 9

We will now calculate the prime factors of 75303 and 75321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75303 and 75321.

How to find the GCF of 75303 and 75321?

We will first find the prime factorization of 75303 and 75321. After we will calculate the factors of 75303 and 75321 and find the biggest common factor number .

Step-1: Prime Factorization of 75303

Prime factors of 75303 are 3, 2789. Prime factorization of 75303 in exponential form is:

75303 = 3³ × 2789¹

Step-2: Prime Factorization of 75321

Prime factors of 75321 are 3, 8369. Prime factorization of 75321 in exponential form is:

75321 = 3² × 8369¹

Step-3: Factors of 75303

List of positive integer factors of 75303 that divides 75303 without a remainder.

1, 3, 9, 27, 2789, 8367, 25101

Step-4: Factors of 75321

List of positive integer factors of 75321 that divides 75303 without a remainder.

1, 3, 9, 8369, 25107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75303 and 75321. The biggest common factor number is the GCF number.
So the greatest common factor 75303 and 75321 is 9.

Also check out the Least Common Multiple of 75303 and 75321