What is the Greatest Common Factor of 93069 and 93075?

Greatest common factor (GCF) of 93069 and 93075 is 3.

GCF(93069,93075) = 3

We will now calculate the prime factors of 93069 and 93075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93069 and 93075.

How to find the GCF of 93069 and 93075?

We will first find the prime factorization of 93069 and 93075. After we will calculate the factors of 93069 and 93075 and find the biggest common factor number .

Step-1: Prime Factorization of 93069

Prime factors of 93069 are 3, 383. Prime factorization of 93069 in exponential form is:

93069 = 3⁵ × 383¹

Step-2: Prime Factorization of 93075

Prime factors of 93075 are 3, 5, 17, 73. Prime factorization of 93075 in exponential form is:

93075 = 3¹ × 5² × 17¹ × 73¹

Step-3: Factors of 93069

List of positive integer factors of 93069 that divides 93069 without a remainder.

1, 3, 9, 27, 81, 243, 383, 1149, 3447, 10341, 31023

Step-4: Factors of 93075

List of positive integer factors of 93075 that divides 93069 without a remainder.

1, 3, 5, 15, 17, 25, 51, 73, 75, 85, 219, 255, 365, 425, 1095, 1241, 1275, 1825, 3723, 5475, 6205, 18615, 31025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93069 and 93075. The biggest common factor number is the GCF number.
So the greatest common factor 93069 and 93075 is 3.

Also check out the Least Common Multiple of 93069 and 93075