What is the Greatest Common Factor of 72585 and 72599?

Greatest common factor (GCF) of 72585 and 72599 is 1.

GCF(72585,72599) = 1

We will now calculate the prime factors of 72585 and 72599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72585 and 72599.

How to find the GCF of 72585 and 72599?

We will first find the prime factorization of 72585 and 72599. After we will calculate the factors of 72585 and 72599 and find the biggest common factor number .

Step-1: Prime Factorization of 72585

Prime factors of 72585 are 3, 5, 1613. Prime factorization of 72585 in exponential form is:

72585 = 3² × 5¹ × 1613¹

Step-2: Prime Factorization of 72599

Prime factors of 72599 are 19, 3821. Prime factorization of 72599 in exponential form is:

72599 = 19¹ × 3821¹

Step-3: Factors of 72585

List of positive integer factors of 72585 that divides 72585 without a remainder.

1, 3, 5, 9, 15, 45, 1613, 4839, 8065, 14517, 24195

Step-4: Factors of 72599

List of positive integer factors of 72599 that divides 72585 without a remainder.

1, 19, 3821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72585 and 72599. The biggest common factor number is the GCF number.
So the greatest common factor 72585 and 72599 is 1.

Also check out the Least Common Multiple of 72585 and 72599