What is the Greatest Common Factor of 75321 and 75330?

Greatest common factor (GCF) of 75321 and 75330 is 9.

GCF(75321,75330) = 9

We will now calculate the prime factors of 75321 and 75330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75321 and 75330.

How to find the GCF of 75321 and 75330?

We will first find the prime factorization of 75321 and 75330. After we will calculate the factors of 75321 and 75330 and find the biggest common factor number .

Step-1: Prime Factorization of 75321

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

75321 = 3² × 8369¹

Step-2: Prime Factorization of 75330

Prime factors of 75330 are 2, 3, 5, 31. Prime factorization of 75330 in exponential form is:

75330 = 2¹ × 3⁵ × 5¹ × 31¹

Step-3: Factors of 75321

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

1, 3, 9, 8369, 25107

Step-4: Factors of 75330

List of positive integer factors of 75330 that divides 75321 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 81, 90, 93, 135, 155, 162, 186, 243, 270, 279, 310, 405, 465, 486, 558, 810, 837, 930, 1215, 1395, 1674, 2430, 2511, 2790, 4185, 5022, 7533, 8370, 12555, 15066, 25110, 37665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75321 and 75330. The biggest common factor number is the GCF number.
So the greatest common factor 75321 and 75330 is 9.

Also check out the Least Common Multiple of 75321 and 75330