What is the Greatest Common Factor of 72684 and 72689?

Greatest common factor (GCF) of 72684 and 72689 is 1.

GCF(72684,72689) = 1

We will now calculate the prime factors of 72684 and 72689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72684 and 72689.

How to find the GCF of 72684 and 72689?

We will first find the prime factorization of 72684 and 72689. After we will calculate the factors of 72684 and 72689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72689

Prime factors of 72689 are 72689. Prime factorization of 72689 in exponential form is:

72689 = 72689¹

Step-3: Factors of 72684

List of positive integer factors of 72684 that divides 72684 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

Step-4: Factors of 72689

List of positive integer factors of 72689 that divides 72684 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72684 and 72689. The biggest common factor number is the GCF number.
So the greatest common factor 72684 and 72689 is 1.

Also check out the Least Common Multiple of 72684 and 72689