What is the Greatest Common Factor of 93075 and 93084?

Greatest common factor (GCF) of 93075 and 93084 is 3.

GCF(93075,93084) = 3

We will now calculate the prime factors of 93075 and 93084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93075 and 93084.

How to find the GCF of 93075 and 93084?

We will first find the prime factorization of 93075 and 93084. After we will calculate the factors of 93075 and 93084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93084

Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:

93084 = 2² × 3¹ × 7757¹

Step-3: Factors of 93075

List of positive integer factors of 93075 that divides 93075 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

Step-4: Factors of 93084

List of positive integer factors of 93084 that divides 93075 without a remainder.

1, 2, 3, 4, 6, 12, 7757, 15514, 23271, 31028, 46542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93075 and 93084. The biggest common factor number is the GCF number.
So the greatest common factor 93075 and 93084 is 3.

Also check out the Least Common Multiple of 93075 and 93084