What is the Greatest Common Factor of 90966 and 90975?

Greatest common factor (GCF) of 90966 and 90975 is 3.

GCF(90966,90975) = 3

We will now calculate the prime factors of 90966 and 90975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90966 and 90975.

How to find the GCF of 90966 and 90975?

We will first find the prime factorization of 90966 and 90975. After we will calculate the factors of 90966 and 90975 and find the biggest common factor number .

Step-1: Prime Factorization of 90966

Prime factors of 90966 are 2, 3, 15161. Prime factorization of 90966 in exponential form is:

90966 = 2¹ × 3¹ × 15161¹

Step-2: Prime Factorization of 90975

Prime factors of 90975 are 3, 5, 1213. Prime factorization of 90975 in exponential form is:

90975 = 3¹ × 5² × 1213¹

Step-3: Factors of 90966

List of positive integer factors of 90966 that divides 90966 without a remainder.

1, 2, 3, 6, 15161, 30322, 45483

Step-4: Factors of 90975

List of positive integer factors of 90975 that divides 90966 without a remainder.

1, 3, 5, 15, 25, 75, 1213, 3639, 6065, 18195, 30325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90966 and 90975. The biggest common factor number is the GCF number.
So the greatest common factor 90966 and 90975 is 3.

Also check out the Least Common Multiple of 90966 and 90975