What is the Greatest Common Factor of 45594 and 45603?

Greatest common factor (GCF) of 45594 and 45603 is 9.

GCF(45594,45603) = 9

We will now calculate the prime factors of 45594 and 45603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45594 and 45603.

How to find the GCF of 45594 and 45603?

We will first find the prime factorization of 45594 and 45603. After we will calculate the factors of 45594 and 45603 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 45603

Prime factors of 45603 are 3, 563. Prime factorization of 45603 in exponential form is:

45603 = 3⁴ × 563¹

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 45603

List of positive integer factors of 45603 that divides 45594 without a remainder.

1, 3, 9, 27, 81, 563, 1689, 5067, 15201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45594 and 45603. The biggest common factor number is the GCF number.
So the greatest common factor 45594 and 45603 is 9.

Also check out the Least Common Multiple of 45594 and 45603