What is the Greatest Common Factor of 72085 and 72099?

Greatest common factor (GCF) of 72085 and 72099 is 1.

GCF(72085,72099) = 1

We will now calculate the prime factors of 72085 and 72099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72085 and 72099.

How to find the GCF of 72085 and 72099?

We will first find the prime factorization of 72085 and 72099. After we will calculate the factors of 72085 and 72099 and find the biggest common factor number .

Step-1: Prime Factorization of 72085

Prime factors of 72085 are 5, 13, 1109. Prime factorization of 72085 in exponential form is:

72085 = 5¹ × 13¹ × 1109¹

Step-2: Prime Factorization of 72099

Prime factors of 72099 are 3, 8011. Prime factorization of 72099 in exponential form is:

72099 = 3² × 8011¹

Step-3: Factors of 72085

List of positive integer factors of 72085 that divides 72085 without a remainder.

1, 5, 13, 65, 1109, 5545, 14417

Step-4: Factors of 72099

List of positive integer factors of 72099 that divides 72085 without a remainder.

1, 3, 9, 8011, 24033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72085 and 72099. The biggest common factor number is the GCF number.
So the greatest common factor 72085 and 72099 is 1.

Also check out the Least Common Multiple of 72085 and 72099