What is the Greatest Common Factor of 45594 and 45609?

Greatest common factor (GCF) of 45594 and 45609 is 3.

GCF(45594,45609) = 3

We will now calculate the prime factors of 45594 and 45609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45594 and 45609.

How to find the GCF of 45594 and 45609?

We will first find the prime factorization of 45594 and 45609. After we will calculate the factors of 45594 and 45609 and find the biggest common factor number .

Step-1: Prime Factorization of 45594

Prime factors of 45594 are 2, 3, 17, 149. Prime factorization of 45594 in exponential form is:

45594 = 2¹ × 3² × 17¹ × 149¹

Step-2: Prime Factorization of 45609

Prime factors of 45609 are 3, 23, 661. Prime factorization of 45609 in exponential form is:

45609 = 3¹ × 23¹ × 661¹

Step-3: Factors of 45594

List of positive integer factors of 45594 that divides 45594 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 149, 153, 298, 306, 447, 894, 1341, 2533, 2682, 5066, 7599, 15198, 22797

Step-4: Factors of 45609

List of positive integer factors of 45609 that divides 45594 without a remainder.

1, 3, 23, 69, 661, 1983, 15203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45594 and 45609. The biggest common factor number is the GCF number.
So the greatest common factor 45594 and 45609 is 3.

Also check out the Least Common Multiple of 45594 and 45609