What is the Greatest Common Factor of 72594 and 72612?

Greatest common factor (GCF) of 72594 and 72612 is 18.

GCF(72594,72612) = 18

We will now calculate the prime factors of 72594 and 72612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72594 and 72612.

How to find the GCF of 72594 and 72612?

We will first find the prime factorization of 72594 and 72612. After we will calculate the factors of 72594 and 72612 and find the biggest common factor number .

Step-1: Prime Factorization of 72594

Prime factors of 72594 are 2, 3, 37, 109. Prime factorization of 72594 in exponential form is:

72594 = 2¹ × 3² × 37¹ × 109¹

Step-2: Prime Factorization of 72612

Prime factors of 72612 are 2, 3, 2017. Prime factorization of 72612 in exponential form is:

72612 = 2² × 3² × 2017¹

Step-3: Factors of 72594

List of positive integer factors of 72594 that divides 72594 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 109, 111, 218, 222, 327, 333, 654, 666, 981, 1962, 4033, 8066, 12099, 24198, 36297

Step-4: Factors of 72612

List of positive integer factors of 72612 that divides 72594 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2017, 4034, 6051, 8068, 12102, 18153, 24204, 36306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72594 and 72612. The biggest common factor number is the GCF number.
So the greatest common factor 72594 and 72612 is 18.

Also check out the Least Common Multiple of 72594 and 72612