What is the Greatest Common Factor of 93594 and 93609?

Greatest common factor (GCF) of 93594 and 93609 is 3.

GCF(93594,93609) = 3

We will now calculate the prime factors of 93594 and 93609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93594 and 93609.

How to find the GCF of 93594 and 93609?

We will first find the prime factorization of 93594 and 93609. After we will calculate the factors of 93594 and 93609 and find the biggest common factor number .

Step-1: Prime Factorization of 93594

Prime factors of 93594 are 2, 3, 19, 821. Prime factorization of 93594 in exponential form is:

93594 = 2¹ × 3¹ × 19¹ × 821¹

Step-2: Prime Factorization of 93609

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

93609 = 3³ × 3467¹

Step-3: Factors of 93594

List of positive integer factors of 93594 that divides 93594 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 821, 1642, 2463, 4926, 15599, 31198, 46797

Step-4: Factors of 93609

List of positive integer factors of 93609 that divides 93594 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93594 and 93609. The biggest common factor number is the GCF number.
So the greatest common factor 93594 and 93609 is 3.

Also check out the Least Common Multiple of 93594 and 93609