What is the Greatest Common Factor of 93609 and 93627?

Greatest common factor (GCF) of 93609 and 93627 is 9.

GCF(93609,93627) = 9

We will now calculate the prime factors of 93609 and 93627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93609 and 93627.

How to find the GCF of 93609 and 93627?

We will first find the prime factorization of 93609 and 93627. After we will calculate the factors of 93609 and 93627 and find the biggest common factor number .

Step-1: Prime Factorization of 93609

Prime factors of 93609 are 3, 3467. Prime factorization of 93609 in exponential form is:

93609 = 3³ × 3467¹

Step-2: Prime Factorization of 93627

Prime factors of 93627 are 3, 101, 103. Prime factorization of 93627 in exponential form is:

93627 = 3² × 101¹ × 103¹

Step-3: Factors of 93609

List of positive integer factors of 93609 that divides 93609 without a remainder.

1, 3, 9, 27, 3467, 10401, 31203

Step-4: Factors of 93627

List of positive integer factors of 93627 that divides 93609 without a remainder.

1, 3, 9, 101, 103, 303, 309, 909, 927, 10403, 31209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93609 and 93627. The biggest common factor number is the GCF number.
So the greatest common factor 93609 and 93627 is 9.

Also check out the Least Common Multiple of 93609 and 93627