What is the Greatest Common Factor of 45594 and 45612?

Greatest common factor (GCF) of 45594 and 45612 is 18.

GCF(45594,45612) = 18

We will now calculate the prime factors of 45594 and 45612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45594 and 45612.

How to find the GCF of 45594 and 45612?

We will first find the prime factorization of 45594 and 45612. After we will calculate the factors of 45594 and 45612 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 45612

Prime factors of 45612 are 2, 3, 7, 181. Prime factorization of 45612 in exponential form is:

45612 = 2² × 3² × 7¹ × 181¹

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 45612

List of positive integer factors of 45612 that divides 45594 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 181, 252, 362, 543, 724, 1086, 1267, 1629, 2172, 2534, 3258, 3801, 5068, 6516, 7602, 11403, 15204, 22806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45594 and 45612. The biggest common factor number is the GCF number.
So the greatest common factor 45594 and 45612 is 18.

Also check out the Least Common Multiple of 45594 and 45612