What is the Greatest Common Factor of 93663 and 93675?

Greatest common factor (GCF) of 93663 and 93675 is 3.

GCF(93663,93675) = 3

We will now calculate the prime factors of 93663 and 93675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93663 and 93675.

How to find the GCF of 93663 and 93675?

We will first find the prime factorization of 93663 and 93675. After we will calculate the factors of 93663 and 93675 and find the biggest common factor number .

Step-1: Prime Factorization of 93663

Prime factors of 93663 are 3, 3469. Prime factorization of 93663 in exponential form is:

93663 = 3³ × 3469¹

Step-2: Prime Factorization of 93675

Prime factors of 93675 are 3, 5, 1249. Prime factorization of 93675 in exponential form is:

93675 = 3¹ × 5² × 1249¹

Step-3: Factors of 93663

List of positive integer factors of 93663 that divides 93663 without a remainder.

1, 3, 9, 27, 3469, 10407, 31221

Step-4: Factors of 93675

List of positive integer factors of 93675 that divides 93663 without a remainder.

1, 3, 5, 15, 25, 75, 1249, 3747, 6245, 18735, 31225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93663 and 93675. The biggest common factor number is the GCF number.
So the greatest common factor 93663 and 93675 is 3.

Also check out the Least Common Multiple of 93663 and 93675