What is the Greatest Common Factor of 72666 and 72684?

Greatest common factor (GCF) of 72666 and 72684 is 18.

GCF(72666,72684) = 18

We will now calculate the prime factors of 72666 and 72684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72666 and 72684.

How to find the GCF of 72666 and 72684?

We will first find the prime factorization of 72666 and 72684. After we will calculate the factors of 72666 and 72684 and find the biggest common factor number .

Step-1: Prime Factorization of 72666

Prime factors of 72666 are 2, 3, 11, 367. Prime factorization of 72666 in exponential form is:

72666 = 2¹ × 3² × 11¹ × 367¹

Step-2: Prime Factorization of 72684

Prime factors of 72684 are 2, 3, 673. Prime factorization of 72684 in exponential form is:

72684 = 2² × 3³ × 673¹

Step-3: Factors of 72666

List of positive integer factors of 72666 that divides 72666 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 367, 734, 1101, 2202, 3303, 4037, 6606, 8074, 12111, 24222, 36333

Step-4: Factors of 72684

List of positive integer factors of 72684 that divides 72666 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 673, 1346, 2019, 2692, 4038, 6057, 8076, 12114, 18171, 24228, 36342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72666 and 72684. The biggest common factor number is the GCF number.
So the greatest common factor 72666 and 72684 is 18.

Also check out the Least Common Multiple of 72666 and 72684